A366083 - OEIS

A366083

Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1-x-x^2) ).

1, 3, 14, 78, 478, 3109, 21063, 146997, 1049302, 7624330, 56198481, 419155136, 3157356819, 23984387314, 183519131353, 1413099475142, 10941294442694, 85132006090350, 665294548097852, 5219591907202092, 41095469624286421, 324595783790966343

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..1000

FORMULA

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

PROG

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

CROSSREFS

Cf. A007440, A108623, A366081, A366082.

Cf. A366050.

Sequence in context: A367016 A074538 A364739 * A368938 A242426 A001564

Adjacent sequences: A366080 A366081 A366082 * A366084 A366085 A366086

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Sep 28 2023

STATUS

approved