A064303 Seventh diagonal of triangle A064094.

1, 132, 2307, 14506, 55797, 161376, 387607, 817062, 1563561, 2777212, 4649451, 7418082, 11372317, 16857816, 24281727, 34117726, 46911057, 63283572, 83938771, 109666842, 141349701, 179966032, 226596327, 282427926, 348760057, 427008876, 518712507, 625536082, 749276781

Offset

0,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

a(n) = 1 + 5*n + 14*n^2 + 28*n^3 + 42*n^4 + 42*n^5, compare to row n = 5 of A009766.

G.f.: (1 + 126*x + 1530*x^2 + 2624*x^3 + 741*x^4 + 18*x^5)/(1-x)^6.

E.g.f.: exp(x)*(1 + 131*x + 1022*x^2 + 1330*x^3 + 462*x^4 + 42*x^5). - Stefano Spezia, Jul 21 2022

Crossrefs

Cf. A009766, A064094, A064302 (sixth diagonal).

Sequence in context: A233066 A282751 A129975 * A220925 A220996 A254646

Adjacent sequences: A064300 A064301 A064302 * A064304 A064305 A064306

Keyword

nonn,easy

Author

Wolfdieter Lang, Sep 13 2001

Extensions

More terms from Stefano Spezia, Jul 21 2022

Status

approved