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A131405 Row sums of triangle A131404. 2
1, 2, 7, 16, 37, 82, 179, 384, 813, 1702, 3531, 7272, 14889, 30342, 61603, 124700, 251825, 507582, 1021535, 2053388, 4123481, 8274002, 16591767, 33254356, 66623317, 133432082, 267164239, 534814024, 1070413693, 2142098602, 4286254091, 8575836312, 17157057669 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (5, -8, 3, 3, -2)

FORMULA

From Andrew Howroyd, Aug 09 2018: (Start)

a(n) = 5*a(n-1) - 8*a(n-2) + 3*a(n-3) + 3*a(n-4) - 2*a(n-5).

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

(End)

EXAMPLE

a(4) = 37 = sum of row 4 terms of triangle A131404: (1 + 11 + 13 + 11 + 1).

PROG

(PARI) Vec((1 - 3*x + 5*x^2 - 6*x^3 + 4*x^4)/((1 - x)^2*(1 - 2*x)*(1 - x - x^2)) + O(x^40)) \\ Andrew Howroyd, Aug 09 2018

CROSSREFS

Row sums of A131404.

Cf. A131403.

Sequence in context: A259966 A283500 A097442 * A269963 A176805 A224227

Adjacent sequences:  A131402 A131403 A131404 * A131406 A131407 A131408

KEYWORD

nonn

AUTHOR

Gary W. Adamson, Jul 07 2007

EXTENSIONS

Terms a(10) and beyond from Andrew Howroyd, Aug 09 2018

STATUS

approved

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Last modified October 14 18:28 EDT 2019. Contains 328022 sequences. (Running on oeis4.)