The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A371516 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A371516

G.f. A(x) satisfies A(x) = (1 + x*A(x) / (1-x))^3.
(history; published version)

#14 by Michael De Vlieger at Wed Mar 27 08:54:08 EDT 2024

STATUS

proposed

approved

#13 by Seiichi Manyama at Wed Mar 27 07:09:54 EDT 2024

STATUS

editing

proposed

#12 by Seiichi Manyama at Wed Mar 27 05:17:50 EDT 2024

FORMULA

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

STATUS

approved

editing

#11 by Michael De Vlieger at Tue Mar 26 11:14:46 EDT 2024

STATUS

reviewed

approved

#10 by Joerg Arndt at Tue Mar 26 10:16:51 EDT 2024

STATUS

proposed

reviewed

#9 by Seiichi Manyama at Tue Mar 26 08:14:58 EDT 2024

STATUS

editing

proposed

#8 by Seiichi Manyama at Tue Mar 26 07:28:44 EDT 2024

CROSSREFS

Cf. A045868, A371517, A371520, A371521.

#7 by Seiichi Manyama at Tue Mar 26 04:08:12 EDT 2024

CROSSREFS

Cf. A270386, A307678.

#6 by Seiichi Manyama at Tue Mar 26 04:04:35 EDT 2024

FORMULA

G.f.: A(x) = B(x)^3 where B(x) is the g.f. of A207678A307678.

#5 by Seiichi Manyama at Tue Mar 26 04:04:21 EDT 2024

FORMULA

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

G.f.: A(x) = B(x)^3 where B(x) is the g.f. of A207678.