The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A260722

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Difference between n-th odd Ludic and n-th Lucky number: a(1) = 0; for n > 1: a(n) = A003309(n+1) - A000959(n).
(history; published version)

#10 by N. J. A. Sloane at Mon Aug 10 07:27:57 EDT 2015

STATUS

proposed

approved

#9 by Antti Karttunen at Thu Aug 06 08:59:24 EDT 2015

STATUS

editing

proposed

#8 by Antti Karttunen at Thu Aug 06 08:45:06 EDT 2015

COMMENTS

Equally: for n > 1, = 2, the difference between (n+1)-th Ludic and n-th Lucky number.

LINKS

<a href="/index/Si#sieve">Index entries for sequences generated by sieves</a>

#7 by Antti Karttunen at Thu Aug 06 08:44:19 EDT 2015

LINKS

Antti Karttunen, <a href="/A260722/b260722.txt">Table of n, a(n) for n = 1..10000</a>

#6 by Antti Karttunen at Thu Aug 06 07:40:17 EDT 2015

FORMULA

a(n) = A256486(n+1) + A031883(n).

CROSSREFS

Cf. A000959, A003309, A031883, A260721 (same terms divided by two), A260723, A256486, A256487.

#5 by Antti Karttunen at Thu Aug 06 07:34:21 EDT 2015

COMMENTS

Equally: for n > 1, the difference between (n+1)-th Ludic and n-th Lucky number.

Discussion

Thu Aug 06

07:38

Antti Karttunen: Also: (same-intfuns1? (COMPOSE (lambda (n) (+ (A256486 (+ 1 n)) (A031883 n))) 1+) (COMPOSE A260722 1+) 128) --> #t

#4 by Antti Karttunen at Thu Aug 06 07:33:21 EDT 2015

FORMULA

a(1) = 0; for n > 1: a(n) = A003309(n+1) - A000959(n).

Other identities. For all n >= 2:

a(n) = A256486(n) + A260723(n).

CROSSREFS

Cf. A000959, A003309, A260721 (same terms divided by two), A260723, A256486, A256487.

#3 by Antti Karttunen at Thu Aug 06 07:02:08 EDT 2015

CROSSREFS

Cf. A000959, A003309, A260721 (same terms divided by two), A260723, A256487.

Discussion

Thu Aug 06

07:23

Antti Karttunen: (same-intfuns1? (COMPOSE A260722 1+) (COMPOSE (lambda (n) (+ (A256486 n) (A260723 n))) 1+) 128)

#2 by Antti Karttunen at Thu Aug 06 06:55:25 EDT 2015

NAME

allocated Difference between n-th odd Ludic and n-th Lucky number: a(1) = 0; for Antti Karttunenn > 1: a(n) = A003309(n+1) - A000959(n).

DATA

0, 0, -2, -2, -2, -2, -4, -2, -6, -4, 0, -2, -6, -4, -10, -6, -2, -2, 2, 4, 2, -2, -2, 2, 4, 4, -6, -2, -2, 8, 8, 6, 2, 10, 6, 8, -8, 0, 14, 10, 16, 12, 8, 10, 4, 4, 10, 16, 6, 16, 16, 14, 18, 22, 24, 32, 28, 30, 22, 32, 32, 30, 38, 34, 32, 36, 40, 30, 28, 28, 32, 24, 22, 24, 36, 38, 42, 30, 30, 22, 26, 26, 30, 38, 40, 30, 36, 46, 48, 46, 56, 54, 54, 54, 40, 46

OFFSET

1,3

PROG

(Scheme) (define (A260722 n) (if (= 1 n) 0 (- (A003309 (+ 1 n)) (A000959 n))))

CROSSREFS

Cf. A000959, A003309, A260721 (same terms divided by two), A256487.

Cf. also permutations A260435, A260436, A260741, A260742.

KEYWORD

allocated

sign

AUTHOR

Antti Karttunen, Aug 06 2015

STATUS

approved

editing

#1 by Antti Karttunen at Thu Jul 30 07:57:02 EDT 2015

NAME

allocated for Antti Karttunen

KEYWORD

allocated

STATUS

approved