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

Author

Wolfdieter Lang, Sep 13 2001

Keywords

• nonn
• easy

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).

Crossrefs

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

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

Extensions

More terms from Stefano Spezia, Jul 21 2022