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A130713 a(0)=a(2)=1, a(1)=2, a(n)=0 for n>2. 3
1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Self-convolution of A019590. Up to a sign the convolutional inverse of the natural numbers sequence. - Tanya Khovanova, Jul 14 2007

LINKS

Table of n, a(n) for n=0..104.

FORMULA

G.f.: 1+2*x+x^2.

a(n) = [C((n+2)^2,n+4) mod 2] + 2*[C((n+1)^2,n+3) mod 2] +[C(n^2,n+2) mod 2]. - Paolo P. Lava, Dec 19 2007

a(n) = binomial(2n, n^2). - Wesley Ivan Hurt, Mar 08 2014

MAPLE

A130713:=n->binomial(2*n, n^2); seq(A130713(n), n=0..100); # Wesley Ivan Hurt, Mar 08 2014

MATHEMATICA

Table[Binomial[2 n, n^2], {n, 0, 100}] (* Wesley Ivan Hurt, Mar 08 2014 *)

CROSSREFS

Sequence in context: A097470 A230093 A033322 * A236619 A085857 A056620

Adjacent sequences:  A130710 A130711 A130712 * A130714 A130715 A130716

KEYWORD

easy,nonn

AUTHOR

Paul Curtz and Tanya Khovanova, Jul 01 2007

STATUS

approved

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Last modified May 26 16:52 EDT 2017. Contains 287130 sequences.