The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A350894

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A350894

Number of partitions of n such that (smallest part) = 3*(number of parts).
(history; published version)

#19 by Vaclav Kotesovec at Mon Jan 24 09:13:45 EST 2022

STATUS

editing

approved

#18 by Vaclav Kotesovec at Mon Jan 24 09:13:35 EST 2022

LINKS

Vaclav Kotesovec, <a href="/A350894/b350894.txt">Table of n, a(n) for n = 1..10000</a>

STATUS

approved

editing

#17 by Bruno Berselli at Mon Jan 24 04:41:57 EST 2022

STATUS

reviewed

approved

#16 by Joerg Arndt at Mon Jan 24 04:37:27 EST 2022

STATUS

proposed

reviewed

#15 by Vaclav Kotesovec at Sat Jan 22 11:04:57 EST 2022

STATUS

editing

proposed

#14 by Vaclav Kotesovec at Sat Jan 22 11:03:26 EST 2022

FORMULA

a(n) ~ (1 - alfa) * exp(2*sqrt(n*(3*log(alfa)^2 + polylog(2, 1 - alfa)))) * (3*log(alfa)^2 + polylog(2, 1 - alfa))^(1/4) / (2*sqrt(Pi) * sqrt(6 - 5*alfa) * n^(3/4)), where alfa = 0.7780895986786010978806823096592944458720784440255... is positive real root of the equation alfa^6 + alfa - 1 = 0. - Vaclav Kotesovec, Jan 22 2022

STATUS

proposed

editing

#13 by Seiichi Manyama at Fri Jan 21 21:06:57 EST 2022

STATUS

editing

proposed

#12 by Seiichi Manyama at Fri Jan 21 21:06:29 EST 2022

CROSSREFS

Cf. A168656, A237756.

#11 by Seiichi Manyama at Fri Jan 21 20:53:03 EST 2022

FORMULA

G.f.: Sum_{jk>=1} x^(3*jk^2)/Product_{kj=1..jk-1} (1-x^kj).

CROSSREFS

Cf. A168656,.

#10 by Seiichi Manyama at Fri Jan 21 20:43:49 EST 2022

CROSSREFS

Cf. A168656.,

STATUS

proposed

editing