The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A369190 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A369190

Expansion of (1/x) * Series_Reversion( x / ((1-x)^2 * (1+x)^4) ).
(history; published version)

#20 by Alois P. Heinz at Thu Feb 15 04:25:50 EST 2024

STATUS

reviewed

approved

#19 by Joerg Arndt at Thu Feb 15 03:21:48 EST 2024

STATUS

proposed

reviewed

#18 by Seiichi Manyama at Thu Feb 15 03:20:45 EST 2024

STATUS

editing

proposed

#17 by Seiichi Manyama at Wed Feb 14 21:41:34 EST 2024

FORMULA

a(n) = (1/(n+1)) * [x^n] ( (1-x)^2 * (1+x)^4 )^(n+1) / (n+1).

#16 by Seiichi Manyama at Wed Feb 14 21:27:41 EST 2024

FORMULA

a(n) = [x^n] ( (1-x)^2 * (1+x)^4 )^(n+1) / (n+1).

STATUS

approved

editing

#15 by Michael De Vlieger at Sat Feb 10 09:23:38 EST 2024

STATUS

proposed

approved

#14 by Seiichi Manyama at Sat Feb 10 06:35:39 EST 2024

STATUS

editing

proposed

#13 by Seiichi Manyama at Sat Feb 10 06:24:40 EST 2024

FORMULA

G.f.: exp( Sum_{k >= 1} A368467(k) * x^k/k ).

#12 by Seiichi Manyama at Sat Feb 10 06:24:15 EST 2024

FORMULA

G.f.: exp( Sum_{k >= 1} A368467(k) * x^k/k ).

a(n) = (1/(n+1)) * Sum_{k=0..n} (-1)^k * binomial(2*(n+1),k) * binomial(4*(n+1),n-k).

CROSSREFS

Cf. A368467.

#11 by Seiichi Manyama at Sat Feb 10 06:20:13 EST 2024

DATA

1, 2, 3, -2, -39, -176, -442, -26, 6222, 36062, 113240, 91632, -1303985, -9362520, -34625652, -50327818, 293446186, 2693939308, 11475384425, 23120716658, -62820989127, -813918935104, -3964894957296, -10002153961552, 10192131001136, 250612187843962