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 A008958 Triangle of central factorial numbers 4^k T(2n+1,2n+1-2k). 9
 1, 1, 1, 1, 10, 1, 1, 35, 91, 1, 1, 84, 966, 820, 1, 1, 165, 5082, 24970, 7381, 1, 1, 286, 18447, 273988, 631631, 66430, 1, 1, 455, 53053, 1768195, 14057043, 15857205, 597871, 1, 1, 680, 129948, 8187608, 157280838, 704652312, 397027996, 5380840, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 REFERENCES J. Riordan, Combinatorial Identities, Wiley, 1968, p. 217. LINKS Robert James Purser, Mobius Net Cubed-Sphere Gnomonic Grids, U.S. Department of Commerce, National Oceanic and Atmospheric Administration, National Weather Service, National Centers for Environmental Protection, 2018. FORMULA G.f. of i-th right-hand column is x/Product_{j=1..i+1} (1 - (2j-1)^2*x). EXAMPLE From Wesley Transue, Jan 21 2012: (Start) Triangle begins: 1; 1,   1; 1,  10,      1; 1,  35,     91,       1; 1,  84,    966,     820,         1; 1, 165,   5082,   24970,      7381,         1; 1, 286,  18447,  273988,    631631,     66430,         1; 1, 455,  53053, 1768195,  14057043,  15857205,    597871,       1; 1, 680, 129948, 8187608, 157280838, 704652312, 397027996, 5380840, 1; (End) MATHEMATICA Flatten[Table[Sum[(-1)^(q+1) 4^(p-n) (2p+2q-2n-1)^(2n+1)/((2n+1-2p-q)! q!), {q, 0, n-p}], {n, 0, 8}, {p, 0, n}]] (* Wesley Transue, Jan 21 2012 *) CROSSREFS Cf. A008955-A008957, A036969. Columns include A000447. Right-hand columns include A002452, A002453. Sequence in context: A173047 A173045 A176491 * A168524 A157277 A157629 Adjacent sequences:  A008955 A008956 A008957 * A008959 A008960 A008961 KEYWORD nonn,tabl,easy,nice AUTHOR EXTENSIONS More terms from Vladeta Jovovic, Apr 16 2000 STATUS approved

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Last modified May 17 22:15 EDT 2021. Contains 343992 sequences. (Running on oeis4.)