A064304 Eighth diagonal of triangle A064094.

1, 429, 14589, 137089, 702297, 2537781, 7312789, 17981769, 39322929, 78571837, 146150061, 256488849, 428947849, 688828869, 1068484677, 1608522841, 2359104609, 3381338829, 4748770909, 6548966817

Offset

0,2

Links

Stefano Spezia, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

a(n) = 1 + 6*n + 20*n^2 + 48*n^3 + 90*n^4 + 132*n^5 + 132*n^6, compare to row n = 6 of Catalan triangle A009766.

G.f.: (1 + 422*x + 11607*x^2 + 43940*x^3 + 34063*x^4 + 4950*x^5 + 57*x^6)/(1 - x)^7.

E.g.f.: exp(x)*(1 + 428*x + 6866*x^2 + 15768*x^3 + 9990*x^4 + 2112*x^5 + 132*x^6). - Stefano Spezia, Jul 24 2022

Crossrefs

Cf. A009766, A064094, A064304 (eighth diagonal).

Sequence in context: A090200 A033279 A145056 * A264180 A270412 A258494

Adjacent sequences: A064301 A064302 A064303 * A064305 A064306 A064307

Keyword

nonn,easy

Author

Wolfdieter Lang, Sep 13 2001

Status

approved