A379206 Central terms of triangle A379200; a(n) = A379200(2*n-1,n-1) for n >= 1.

1, 4, 52, 1004, 24540, 693528, 21365548, 694033712, 23369007288, 808414759404, 28582681491280, 1029170281603296, 37633688114705676, 1394397634883242504, 52252719103306019248, 1977346544751795430944, 75468918458797503960180, 2902157847756806886385760, 112350085062188369503742656

Offset

1,2

Comments

G.f. G(x,y) of triangle A379200 satisfies 1/x = Sum_{n=-oo..+oo} G(x,y)^n * (G(x,y)^n + y)^(n+1). This sequence gives the coefficients of x^(2*n-1)*y^(n-1) in G(x,y) for n >= 1.

Links

Paul D. Hanna, Table of n, a(n) for n = 1..51

Crossrefs

Cf. A379200.

Sequence in context: A144340 A247020 A059580 * A091463 A354253 A354262

Adjacent sequences: A379203 A379204 A379205 * A379207 A379208 A379209

Keyword

nonn,new

Author

Paul D. Hanna, Dec 20 2024

Status

approved