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 A155451 Triangle read by rows: T(n,m)=2*Binomial[n, m] - (m! - n! + (-m + n)!). 0
 1, 1, 1, 1, 4, 1, 1, 9, 9, 1, 1, 25, 32, 25, 1, 1, 105, 132, 132, 105, 1, 1, 611, 724, 748, 724, 611, 1, 1, 4333, 4960, 5080, 5080, 4960, 4333, 1, 1, 35295, 39654, 40306, 40412, 40306, 39654, 35295, 1, 1, 322577, 357910, 362322, 362988, 362988, 362322, 357910 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums are: {1, 2, 6, 20, 84, 476, 3420, 28748, 270924, 2811596, 31843020,...}. LINKS FORMULA T(n,m)=2*Binomial[n, m] - (m! - n! + (-m + n)!). EXAMPLE {1}, {1, 1}, {1, 4, 1}, {1, 9, 9, 1}, {1, 25, 32, 25, 1}, {1, 105, 132, 132, 105, 1}, {1, 611, 724, 748, 724, 611, 1}, {1, 4333, 4960, 5080, 5080, 4960, 4333, 1}, {1, 35295, 39654, 40306, 40412, 40306, 39654, 35295, 1}, {1, 322577, 357910, 362322, 362988, 362988, 362322, 357910, 322577, 1}, {1, 3265939, 3588568, 3623994, 3628476, 3629064, 3628476, 3623994, 3588568, 3265939, 1} MATHEMATICA Table[Table[ 2*Binomial[n, m] - (m! - n! + (-m + n)!), {m, 0, n}], {n, 0, 10}]; Flatten[%] CROSSREFS Sequence in context: A154982 A146767 A146955 * A220681 A189280 A168621 Adjacent sequences:  A155448 A155449 A155450 * A155452 A155453 A155454 KEYWORD nonn,tabl AUTHOR Roger L. Bagula, Jan 22 2009 EXTENSIONS Edited by N. J. A. Sloane, Jan 25 2009 STATUS approved

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Last modified June 13 20:25 EDT 2021. Contains 345009 sequences. (Running on oeis4.)