The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A376581

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A376581

G.f.: Sum_{k>=0} x^(k^2) / Product_{j=1..k} (1 - x^(2*j-1))^2.
(history; published version)

#7 by OEIS Server at Sun Sep 29 07:54:58 EDT 2024

LINKS

Vaclav Kotesovec, <a href="/A376581/b376581_1.txt">Table of n, a(n) for n = 0..10000</a>

#6 by Vaclav Kotesovec at Sun Sep 29 07:54:58 EDT 2024

STATUS

editing

approved

Discussion

Sun Sep 29

07:54

OEIS Server: Installed first b-file as b376581.txt.

#5 by Vaclav Kotesovec at Sun Sep 29 05:25:00 EDT 2024

CROSSREFS

Cf. A053264, A306734, A340647, A376542, A376580.

#4 by Vaclav Kotesovec at Sun Sep 29 05:14:01 EDT 2024

FORMULA

a(n) ~ exp(Pi*sqrt(2*n/5)) / (4*5^(1/4)*sqrt(n)).

#3 by Vaclav Kotesovec at Sun Sep 29 04:47:13 EDT 2024

LINKS

Vaclav Kotesovec, <a href="/A376581/b376581_1.txt">Table of n, a(n) for n = 0..10000</a>

#2 by Vaclav Kotesovec at Sun Sep 29 04:30:36 EDT 2024

NAME

allocated for Vaclav Kotesovec

G.f.: Sum_{k>=0} x^(k^2) / Product_{j=1..k} (1 - x^(2*j-1))^2.

DATA

1, 1, 2, 3, 5, 7, 9, 13, 17, 22, 30, 38, 48, 62, 78, 97, 122, 151, 184, 228, 278, 335, 408, 491, 588, 707, 843, 1000, 1189, 1407, 1658, 1955, 2295, 2686, 3145, 3670, 4270, 4968, 5763, 6671, 7720, 8909, 10263, 11816, 13577, 15574, 17850, 20424, 23333, 26638, 30365

OFFSET

0,3

MATHEMATICA

nmax=100; CoefficientList[Series[Sum[x^(k^2)/Product[1-x^(2*j-1), {j, 1, k}]^2, {k, 0, Sqrt[nmax]}], {x, 0, nmax}], x]

CROSSREFS

Cf. A306734, A340647, A376542, A376580.

KEYWORD

allocated

nonn

AUTHOR

Vaclav Kotesovec, Sep 29 2024

STATUS

approved

editing

#1 by Vaclav Kotesovec at Sun Sep 29 04:28:24 EDT 2024

NAME

allocated for Vaclav Kotesovec

KEYWORD

allocated

STATUS

approved