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A257449

a(n) = 75*(2^n - 1) - 4*n^3 - 18*n^2 - 52*n.

1, 17, 99, 373, 1115, 2901, 6907, 15509, 33483, 70405, 145451, 296997, 601819, 1213493, 2439195, 4893301, 9804587, 19630629, 39286603, 78602885, 157240251, 314520277, 629086139, 1258224213, 2516507275, 5033080901, 10066236267, 20132555749, 40265204123

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OFFSET

1,2

COMMENTS

See the first comment of A257448.

LINKS

Table of n, a(n) for n=1..29.

Index entries for linear recurrences with constant coefficients, signature (6,-14,16,-9,2).

FORMULA

G.f.: -x*(1 + x)*(1 + 10*x + x^2)/((-1 + x)^4*(-1 + 2*x)).

a(n) = 6*a(n-1) -14*a(n-2) +16*a(n-3) -9*a(n-4) +2*a(n-5) for n>5.

EXAMPLE

This sequence provides the antidiagonal sums of the array:

1, 16, 81, 256, 625, 1296, ... A000583

1, 17, 98, 354, 979, 2275, ... A000538

1, 18, 116, 470, 1449, 3724, ... A101089

1, 19, 135, 605, 2054, 5778, ... A101090

1, 20, 155, 760, 2814, 8592, ... A101091

1, 21, 176, 936, 3750, 12342, ... A254681

...

URL: https://oeis.org/A257449

⇱ A257449 - OEIS