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A213764 Antidiagonal sums of the convolution array A213762. 3
1, 8, 31, 90, 225, 516, 1123, 2366, 4885, 9960, 20151, 40578, 81481, 163340, 327115, 654726, 1310013, 2620656, 5242015, 10484810, 20970481, 41941908, 83884851, 167770830, 335542885, 671087096, 1342175623, 2684352786 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(n) = -10 + 5*2^(n+1) - 7*n - 2*n^2.
a(n) = 5*a(n-1) - 9*a(n-2) + 7*a(n-3) - 2*a(n-4).
G.f.: f(x)/g(x), where f(x) = x*(1 + 3*x) and g(x) = (1 - 2*x)*(1 - x)^3.
MATHEMATICA
(See A213762.)
LinearRecurrence[{5, -9, 7, -2}, {1, 8, 31, 90}, 30] (* Harvey P. Dale, Jan 27 2016 *)
CROSSREFS
Sequence in context: A006322 A319906 A212064 * A335606 A320416 A289613
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 20 2012
STATUS
approved

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Last modified March 28 11:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)