The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A204998

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A204998

a(n) = k^2 - j^2, where (k^2,j^2) is the least pair of distinct squares for which n divides their difference.
(history; published version)

#14 by Susanna Cuyler at Sat Sep 29 18:41:14 EDT 2018

STATUS

proposed

approved

#13 by Jon E. Schoenfield at Sat Sep 29 12:00:24 EDT 2018

STATUS

editing

proposed

#12 by Jon E. Schoenfield at Sat Sep 29 12:00:19 EDT 2018

NAME

a(n) = k^2 - j^2, where (k^2,j^2) is the least pair of distinct squares for which n divides their difference.

STATUS

proposed

editing

#11 by Antti Karttunen at Sat Sep 29 03:58:37 EDT 2018

STATUS

editing

proposed

#10 by Antti Karttunen at Sat Sep 29 02:01:53 EDT 2018

NAME

a(n) = k^2-j^2, where (k^2,j^2) is the least pair of distinct squares for which n divides their difference.

#9 by Antti Karttunen at Sat Sep 29 02:01:27 EDT 2018

LINKS

Antti Karttunen, <a href="/A204998/b204998.txt">Table of n, a(n) for n = 1..23005</a>

#8 by Antti Karttunen at Fri Sep 28 16:07:13 EDT 2018

COMMENTS

A204998=A204996-A204997. For a guide to related sequences, see A204892.

FORMULA

a(n) = A204996(n) - A204997(n).

PROG

(PARI) A204998(n) = { my(d); for(k=2, oo, for(j=1, k-1, if(!((d=(k^2)-(j^2))%n), return(d)))); }; \\ Antti Karttunen, Sep 28 2018

CROSSREFS

Cf. A204994, A204892, A204996, A204997, A204999.

#7 by Antti Karttunen at Fri Sep 28 16:05:08 EDT 2018

PROG

(PARI) A204998(n) = { my(d); for(k=sqrtint(1+n), oo, for(j=1, k-1, if(!((d=(k^2)-(j^2))%n), return(d), if(d<n, break)))); }; \\ Antti Karttunen, Sep 28 2018

#6 by Antti Karttunen at Fri Sep 28 14:10:14 EDT 2018

DATA

3, 8, 3, 8, 5, 12, 7, 8, 9, 20, 11, 12, 13, 28, 15, 16, 17, 72, 19, 20, 21, 44, 23, 24, 75, 52, 27, 28, 29, 60, 31, 32, 33, 68, 35, 72, 37, 76, 39, 40, 41, 84, 43, 44, 45, 92, 47, 48, 147, 200, 51, 52, 53, 108, 55, 56, 57, 116, 59, 60, 61, 124, 63, 64, 65, 132, 67, 68, 69, 140, 71, 72, 73, 148, 75, 76, 77, 156, 79, 80, 81, 164

PROG

(PARI) A204998(n) = { my(d); for(k=2, oo, for(j=1, k-1, if(!((d=(k^2)-(j^2))%n), return(d)))); }; \\ Antti Karttunen, Sep 28 2018

CROSSREFS

Cf. A204994, A204892, A204999.

EXTENSIONS

More terms from Antti Karttunen, Sep 28 2018

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 18:58:09 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, Jan 21 2012

Discussion

Fri Mar 30

18:58

OEIS Server: https://oeis.org/edit/global/285