The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A231620

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A231620

a(n) = A000930(n^2), where A000930 is Narayana's cows sequence.
(history; published version)

#11 by N. J. A. Sloane at Wed Apr 26 22:58:21 EDT 2017

STATUS

proposed

approved

#10 by G. C. Greubel at Wed Apr 26 22:46:17 EDT 2017

STATUS

editing

proposed

#9 by G. C. Greubel at Wed Apr 26 22:45:56 EDT 2017

LINKS

G. C. Greubel, <a href="/A231620/b231620.txt">Table of n, a(n) for n = 0..75</a>

MATHEMATICA

Table[SeriesCoefficient[1/(1 - x - x^3), {x, 0, n^2}], {n, 0, 25}] (* G. C. Greubel, Apr 26 2017 *)

STATUS

approved

editing

#8 by Paul D. Hanna at Fri Nov 15 00:55:12 EST 2013

STATUS

editing

approved

#7 by Paul D. Hanna at Fri Nov 15 00:55:09 EST 2013

CROSSREFS

Cf. A000930, A231621, A228647, A228648.

STATUS

approved

editing

#6 by Paul D. Hanna at Fri Nov 15 00:54:24 EST 2013

STATUS

editing

approved

#5 by Paul D. Hanna at Fri Nov 15 00:54:20 EST 2013

NAME

a(n) = A000930(n^2), where A000930 is Narayana's cows sequence.

FORMULA

a(n) = [x^(n^2)] 1 / (1 - x - x^3) for n>=0.

PROG

(PARI) {a(n) = polcoeff(1/(1-x-x^3 + x*O(x^(n^2))), n^2)}

CROSSREFS

Cf. A000930, A231621, A228647.

STATUS

approved

editing

#4 by Paul D. Hanna at Wed Nov 13 17:58:24 EST 2013

STATUS

editing

approved

#3 by Paul D. Hanna at Wed Nov 13 17:58:21 EST 2013

NAME

allocated for Paul D. Hanna

a(n) = A000930(n^2), where A000930 is Narayana's cows sequence.

DATA

1, 1, 3, 19, 277, 8641, 578949, 83316385, 25753389181, 17098272199297, 24382819596721629, 74684329652984094451, 491347682599497451569523, 6943240361573523613067995729, 210741152533202801182666172606913, 13738849457010997118546333815068560833, 1923823572225984354415961546862346889944243

OFFSET

0,3

FORMULA

a(n) = [x^(n^2)] 1 / (1 - x - x^3) for n>=0.

PROG

(PARI) {a(n) = polcoeff(1/(1-x-x^3 + x*O(x^(n^2))), n^2)}

for(n=0, 20, print1(a(n), ", "))

CROSSREFS

Cf. A000930, A231621.

KEYWORD

allocated

nonn

AUTHOR

Paul D. Hanna, Nov 13 2013

STATUS

approved

editing

#2 by Paul D. Hanna at Mon Nov 11 20:28:36 EST 2013

KEYWORD

allocating

allocated