The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A265821

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A265821

Expansion of Product_{k>=1} 1/(1 - (3*k-2)*x^(3*k-2)).
(history; published version)

#5 by Vaclav Kotesovec at Tue Dec 15 18:59:00 EST 2015

STATUS

editing

approved

#4 by Vaclav Kotesovec at Tue Dec 15 18:57:16 EST 2015

FORMULA

a(n) ~ c * 2^(n/2), where

c = 4.633065657780064798394952757560310709647495826095820632429... if mod(n,4) = 0

c = 4.169885941972377533366541853673119715620037601993736640548... if mod(n,4) = 1

c = 4.088913297791237602600754017373520586356446410096065167531... if mod(n,4) = 2

c = 4.069986547973463713613958049535085419215417774875202440925... if mod(n,4) = 3.

#3 by Vaclav Kotesovec at Tue Dec 15 18:40:45 EST 2015

LINKS

Vaclav Kotesovec, <a href="/A265821/b265821.txt">Table of n, a(n) for n = 0..5000</a>

#2 by Vaclav Kotesovec at Tue Dec 15 18:35:44 EST 2015

NAME

allocated for Vaclav Kotesovec

Expansion of Product_{k>=1} 1/(1 - (3*k-2)*x^(3*k-2)).

DATA

1, 1, 1, 1, 5, 5, 5, 12, 28, 28, 38, 66, 130, 143, 232, 344, 616, 738, 1094, 1561, 2840, 3671, 5117, 7227, 12833, 16182, 22428, 32205, 57058, 71006, 98684, 141253, 241563, 301889, 421994, 610113, 1018507, 1278706, 1784671, 2549610, 4224964, 5333003, 7491698

OFFSET

0,5

MATHEMATICA

nmax = 40; CoefficientList[Series[Product[1/(1 - (3*k-2)*x^(3*k-2)), {k, 1, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A067553, A265820.

KEYWORD

allocated

nonn

AUTHOR

Vaclav Kotesovec, Dec 15 2015

STATUS

approved

editing

#1 by Vaclav Kotesovec at Tue Dec 15 18:22:02 EST 2015

NAME

allocated for Vaclav Kotesovec

KEYWORD

allocated

STATUS

approved