The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A083985

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A083985

If k is a number with exactly two distinct decimal digits, say a and b, neither of which is 0 (i.e., a member of A101594), define the self-complement of k, SC(k), to be the number obtained by replacing a with b and vice versa. Then a(n) = gcd(A101594(n), SC(A101594(n))).
(history; published version)

#11 by Michael De Vlieger at Sun Sep 29 21:10:34 EDT 2024

STATUS

proposed

approved

#10 by Andrew Howroyd at Sun Sep 29 16:35:20 EDT 2024

STATUS

editing

proposed

#9 by Andrew Howroyd at Sun Sep 29 16:27:19 EDT 2024

OFFSET

0,1

1,1

Discussion

Sun Sep 29

16:35

Andrew Howroyd: Offset should agree with A101594 and example.

#8 by Andrew Howroyd at Sun Sep 29 16:27:09 EDT 2024

EXTENSIONS

Offset corrected by Andrew Howroyd, Sep 29 2024

STATUS

approved

editing

#7 by Jon E. Schoenfield at Sat Jul 29 12:35:45 EDT 2017

STATUS

editing

approved

#6 by Jon E. Schoenfield at Sat Jul 29 12:35:41 EDT 2017

NAME

If k is a number with exactly two distinct decimal digits, say a and b, neither of which is 0 (i.e. , a member of A101594), define the self-complement of k, SC(k), to be the number obtained by replacing a with b and vice versa. Then a(n) = gcd(A101594(n), SC(A101594(n))).

STATUS

approved

editing

#5 by N. J. A. Sloane at Thu Dec 05 19:56:15 EST 2013

AUTHOR

_Amarnath Murthy (amarnath_murthy(AT)yahoo.com), _, May 22 2003

Discussion

Thu Dec 05

19:56

OEIS Server: https://oeis.org/edit/global/2075

#4 by Russ Cox at Sat Mar 31 13:20:47 EDT 2012

EXTENSIONS

Corrected and extended by _David Wasserman (wasserma(AT)spawar.navy.mil), _, Dec 07 2004

Discussion

Sat Mar 31

13:20

OEIS Server: https://oeis.org/edit/global/880

#3 by N. J. A. Sloane at Sun Feb 20 03:00:00 EST 2005

NAME

Let If k be is a number formed using only (with exactly) two types of nonzero distinct decimal digits , say a and b, neither of which is 0 (i.e. Define a member of A101594), define the self -complement of k, SC(k) as , to be the number obtained by replacing all a's by with b and vice versa. E.g. SCThen a(232233n) = 323322. Sequence contains HCF of k and gcd(A101594(n), SC(kA101594(n))).

DATA

3, 1, 1, 3, 1, 1, 9, 1, 2, 3, 1, 6, 1, 2, 9, 2, 1, 3, 1, 1, 1, 1, 9, 1, 1, 3, 4, 1, 6, 1, 9, 2, 1, 12, 1, 3, 1, 1, 9, 1, 3, 1, 1, 1, 2, 9, 2, 1, 1, 2, 3, 1, 9, 1, 1, 3, 1, 3, 1, 9, 2, 1, 12, 1, 2, 3, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 7, 1, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 6

EXAMPLE

a(7) = gcd(18, 81) = 9.

CROSSREFS

Cf. A101594.

KEYWORD

base,more,nonn,new

EXTENSIONS

Corrected and extended by David Wasserman (wasserma(AT)spawar.navy.mil), Dec 07 2004

#2 by N. J. A. Sloane at Thu Feb 19 03:00:00 EST 2004

NAME

Let k be a number formed using only (exactly) two types of non zero nonzero digits say a and b. Define self complement of k, SC(k) as the number obtained by replacing all a's by b and vice versa. E.g. SC(232233) = 323322. Sequence contains HCF of k and SC(k).

KEYWORD

base,more,nonn,new