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A180166
Row sums of triangle A180165.
2
1, 3, 7, 18, 51, 161, 560, 2123, 8691, 38142, 178407, 885041, 4636948, 25564727, 147848651, 894448186, 5646589363, 37115577265, 253517232120, 1796241061843, 13180234725987, 100009217354694, 783656713398383, 6333420109604593, 52732283687195340, 451831859926030943
OFFSET
1,2
LINKS
FORMULA
G.f.: Sum_{k>=1} x^k*(1 + x)/(1 - k*x - k*x^2). - Andrew Howroyd, Apr 13 2021
EXAMPLE
a(5) = 151 = sum of row 5 terms of triangle A180165: (1 + 5 + 15 + 22 + 8).
PROG
(PARI) seq(n)={Vec(sum(k=1, n, x^k*(1+x)/(1-k*x-k*x^2) + O(x*x^n)))} \\ Andrew Howroyd, Apr 13 2021
CROSSREFS
Row sums of A180165.
Sequence in context: A103177 A262784 A202261 * A369842 A256873 A353213
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Aug 14 2010
EXTENSIONS
a(8) and a(11) corrected and a(14) and beyond from Andrew Howroyd, Apr 13 2021
STATUS
approved