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A026163
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Sum{T(k,k-1)}, k = 1,2,...,n, where T is the array in A026148.
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1
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1, 2, 6, 16, 45, 126, 356, 1008, 2862, 8140, 23188, 66144, 188916, 540216, 1546560, 4432512, 12717513, 36526626, 105016686, 302228080, 870613689, 2510249302, 7244285436, 20924179920, 60487084775, 174994990326, 506669921982
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n) = -4*(-3)^(1/2)*(-1)^n*((n^3+11*n^2+48*n+45)*hypergeom([1/2, n+2],[1],4/3)+(3*n^2+11*n+15)*hypergeom([1/2, n+3],[1],4/3))/((n+3)*(n+5)*(n+6)*(7+n))
G.f.: (2*x-1)*((x+1)^(1/2)*(1-3*x)^(1/2)*(x-1)*(x^2+2*x-1)+x^4-4*x^3-2*x^2+4*x-1)/(2*x^8) - a(n) and G.f. based on guessed recurrence - Mark van Hoeij, Oct 30 2011.
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CROSSREFS
| T(n, n-1), where T is the array in A026323.
Sequence in context: A074413 A055544 A126285 * A005717 A025266 A074403
Adjacent sequences: A026160 A026161 A026162 * A026164 A026165 A026166
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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