The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A360219 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A360219

a(n) = Sum_{k=0..floor(n/4)} (-1)^k * binomial(n-3*k,k) * binomial(2*(n-3*k),n-3*k).
(history; published version)

#42 by Michael De Vlieger at Sat Jul 13 13:47:05 EDT 2024

STATUS

proposed

approved

#41 by Seiichi Manyama at Sat Jul 13 12:39:07 EDT 2024

STATUS

editing

proposed

#40 by Seiichi Manyama at Sat Jul 13 12:36:28 EDT 2024

CROSSREFS

Cf. A157004, A360267, A374599.

#39 by Seiichi Manyama at Sat Jul 13 12:35:43 EDT 2024

NAME

a(n) = Sum_{k=0..floor(n/34)} (-1)^k * binomial(n-3*k,k) * binomial(2*(n-3*k),n-3*k).

PROG

(PARI) a(n) = sum(k=0, n\3, 4, (-1)^k*binomial(n-3*k, k)*binomial(2*(n-3*k), n-3*k));

(PARI) my(N=30, x='x+O('x^N)); Vec(1/(sqrt(1-4*x*(1-x^3))))

STATUS

approved

editing

#38 by Joerg Arndt at Thu Mar 23 11:37:14 EDT 2023

STATUS

reviewed

approved

#37 by Joerg Arndt at Thu Mar 23 11:37:08 EDT 2023

STATUS

proposed

reviewed

#36 by Seiichi Manyama at Thu Mar 23 11:31:53 EDT 2023

STATUS

editing

proposed

#35 by Seiichi Manyama at Thu Mar 23 11:21:36 EDT 2023

LINKS

Seiichi Manyama, <a href="/A360219/b360219.txt">Table of n, a(n) for n = 0..1000</a>

#34 by Seiichi Manyama at Thu Mar 23 11:13:57 EDT 2023

COMMENTS

Diagonal of rational function 1/(1 - x - y + x^4*y^3). - Seiichi Manyama, Mar 23 2023

CROSSREFS

Cf. A157004, A360267.

STATUS

approved

editing

#33 by R. J. Mathar at Sun Mar 12 11:08:56 EDT 2023

STATUS

editing

approved