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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 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 August 5 03:00 EDT 2021. Contains 346457 sequences. (Running on oeis4.)