A365417 Partial sums of A265036.

1, 5, 11, 18, 28, 42, 62, 86, 110, 133, 159, 193, 235, 279, 319, 356, 398, 452, 516, 580, 636, 687, 745, 819, 905, 989, 1061, 1126, 1200, 1294, 1402, 1506, 1594, 1673, 1763, 1877, 2007, 2131, 2235, 2328, 2434, 2568, 2720, 2864, 2984, 3091, 3213, 3367, 3541, 3705, 3841, 3962, 4100, 4274, 4470, 4654

Offset

0,2

Links

Ray Chandler, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5,-12,18,-18,12,-5,1).

Formula

G.f.: (2*x^9 - 6*x^8 + 8*x^7 - 7*x^6 + 2*x^5 + 2*x^4 - 5*x^3 + 2*x^2 - 1)/((x - 1)^3*(x^2 - x + 1)^2).

a(n) = 5*a(n-1) - 12*a(n-2) + 18*a(n-3) - 18*a(n-4) + 12*a(n-5) - 5*a(n-6) + a(n-7) for n > 10.

Mathematica

Join[{1, 5, 11}, LinearRecurrence[{5, -12, 18, -18, 12, -5, 1}, {18, 28, 42, 62, 86, 110, 133}, 50]]

Crossrefs

Cf. A265036.

Sequence in context: A080566 A094684 A240438 * A140697 A048253 A102174

Adjacent sequences: A365414 A365415 A365416 * A365418 A365419 A365420

Keyword

nonn,easy

Author

Ray Chandler, Sep 03 2023

Status

approved