

A134638


Row sums of triangle A134637.


2



1, 8, 28, 76, 182, 406, 868, 1808, 3706, 7522, 15176, 30508, 61198, 122606, 245452, 491176, 982658, 1965658, 3931696, 7863812, 15728086, 31456678, 62913908, 125828416, 251657482, 503315666, 1006632088, 2013264988, 4026530846, 8053062622, 16106126236
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OFFSET

1,2


LINKS



FORMULA

Binomial transform of [1, 7, 13, 15, 15, 15, ...].
G.f. x*(1+3*x3*x^2+x^3) / ( (2*x1)*(x1)^3 ).  R. J. Mathar, Apr 04 2012
a(n) = 8 + 15*2^(n1)  5*n  n^2.
a(n) = 5*a(n1)  9*a(n2) + 7*a(n3)  2*a(n4) for n>4.
(End)


EXAMPLE

a(3) = 28 = sum of row 3 terms of triangle A134637: 10 + 8 + 10.
a(3) = 28 = (1, 2, 1) dot (1, 8, 28) = (1 + 14 + 13).


MATHEMATICA

LinearRecurrence[{5, 9, 7, 2}, {1, 8, 28, 76}, 40] (* Harvey P. Dale, Feb 24 2018 *)


PROG

(PARI) Vec(x*(1 + 3*x  3*x^2 + x^3) / ((1  x)^3*(1  2*x)) + O(x^40)) \\ Colin Barker, Nov 04 2017


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



EXTENSIONS



STATUS

approved



