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A365417
Partial sums of A265036.
1
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
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
KEYWORD
nonn,easy
AUTHOR
Ray Chandler, Sep 03 2023
STATUS
approved