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A184883 Number triangle T(n,k)=[k<=n]*Hypergeometric2F1(-k,2k-2n;1,2). 2
1, 1, 1, 1, 5, 1, 1, 9, 13, 1, 1, 13, 41, 25, 1, 1, 17, 85, 129, 41, 1, 1, 21, 145, 377, 321, 61, 1, 1, 25, 221, 833, 1289, 681, 85, 1, 1, 29, 313, 1561, 3649, 3653, 1289, 113, 1, 1, 33, 421, 2625, 8361, 13073, 8989, 2241, 145, 1, 1, 37, 545, 4089, 16641, 36365, 40081, 19825, 3649, 181, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Reversal of A114123. Row sums are A099463(n+1). Diagonal sums are A184884.

LINKS

Table of n, a(n) for n=0..65.

FORMULA

T(n,k)=[k<=n]*sum{j=0..k, C(2n-2k,j)*C(k,j)*2^j}.

EXAMPLE

Triangle begins

1,

1, 1,

1, 5, 1,

1, 9, 13, 1,

1, 13, 41, 25, 1,

1, 17, 85, 129, 41, 1,

1, 21, 145, 377, 321, 61, 1,

1, 25, 221, 833, 1289, 681, 85, 1,

1, 29, 313, 1561, 3649, 3653, 1289, 113, 1,

1, 33, 421, 2625, 8361, 13073, 8989, 2241, 145, 1,

1, 37, 545, 4089, 16641, 36365, 40081, 19825, 3649, 181, 1

CROSSREFS

Sequence in context: A131061 A157169 A081578 * A279003 A210651 A255831

Adjacent sequences:  A184880 A184881 A184882 * A184884 A184885 A184886

KEYWORD

nonn,easy,tabl

AUTHOR

Paul Barry, Jan 24 2011

STATUS

approved

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Last modified April 9 16:39 EDT 2020. Contains 333361 sequences. (Running on oeis4.)