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A075780 Triangle T(n,k) = f(n,k,n-2), n >= 2, 1 <= k <= n-1, where f is given below. 4
0, 3, 3, 12, 14, 12, 30, 45, 45, 30, 60, 114, 138, 114, 60, 105, 245, 357, 357, 245, 105, 168, 468, 808, 960, 808, 468, 168, 252, 819, 1647, 2286, 2286, 1647, 819, 252, 360, 1340, 3090, 4935, 5740, 4935, 3090, 1340, 360, 495, 2079, 5423, 9834, 13090, 13090, 9834, 5423 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Table of n, a(n) for n=2..54.

Michel Lassalle, A new family of positive integers

FORMULA

f(n, p, k) = binomial(n, k)*hypergeom([1-k, -p, p-n], [1-n, 1], 1).

MAPLE

f := proc(n, p, k) convert( binomial(n, k)*hypergeom([1-k, -p, p-n], [1-n, 1], 1), `StandardFunctions`); end;

MATHEMATICA

t[n_, k_] := n*(n-1)/2*HypergeometricPFQ[{-k, 3-n, k-n}, {1, 1-n}, 1]; Table[t[n, k], {n, 2, 12}, {k, 1, n-1}] // Flatten (* Jean-Fran├žois Alcover, Jan 14 2014 *)

CROSSREFS

Cf. A014410 and A007318 for f(n, k, n), A075779 and A075798 for f(n, k, n-1) and A075780 and A075837 for f(n, k, n-2).

Sequence in context: A117856 A074850 A073055 * A292515 A078666 A290438

Adjacent sequences:  A075777 A075778 A075779 * A075781 A075782 A075783

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Oct 17 2002

STATUS

approved

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Last modified September 28 13:24 EDT 2020. Contains 337393 sequences. (Running on oeis4.)