The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A102840

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A102840

a(0)=0, a(1)=1, a(n)=((2*n-1)*a(n-1)-5*n*a(n-2))/(n-1).
(history; published version)

#20 by Michael De Vlieger at Tue Jul 09 09:02:24 EDT 2024

STATUS

proposed

approved

#19 by Seiichi Manyama at Tue Jul 09 09:02:04 EDT 2024

STATUS

editing

proposed

#18 by Seiichi Manyama at Tue Jul 09 08:20:52 EDT 2024

FORMULA

a(n+1) = (n+2)/2 * Sum_{k=0..floor(n/2)} (-1)^k * binomial(n+1,n-k) * binomial(n-k,k). (End)

a(n+1) = binomial(n+2,2) * A343773(n). (End)

CROSSREFS

Cf. A102839, A343773.

#17 by Seiichi Manyama at Tue Jul 09 08:19:19 EDT 2024

CROSSREFS

Cf. A343773.

#16 by Seiichi Manyama at Tue Jul 09 06:44:24 EDT 2024

FORMULA

From Seiichi Manyama, Jul 09 2024: (Start)

G.f.: x/(1 - 2*x + 5*x^2)^(3/2).

a(n+1) = (n+2)/2 * Sum_{k=0..floor(n/2)} (-1)^k * binomial(n+1,n-k) * binomial(n-k,k). (End)

#15 by Seiichi Manyama at Tue Jul 09 06:41:29 EDT 2024

FORMULA

x/(1 - 2*x + 5*x^2)^(3/2).

STATUS

approved

editing

#14 by OEIS Server at Mon Apr 22 10:05:58 EDT 2024

LINKS

Harvey P. Dale, <a href="/A102840/b102840_1.txt">Table of n, a(n) for n = 0..1000</a>

#13 by Harvey P. Dale at Mon Apr 22 10:05:58 EDT 2024

STATUS

editing

approved

Discussion

Mon Apr 22

10:05

OEIS Server: Installed first b-file as b102840.txt.

#12 by Harvey P. Dale at Mon Apr 22 10:05:56 EDT 2024

LINKS

Harvey P. Dale, <a href="/A102840/b102840_1.txt">Table of n, a(n) for n = 0..1000</a>

STATUS

approved

editing

#11 by Harvey P. Dale at Mon Apr 22 10:04:44 EDT 2024

STATUS

editing

approved