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 A156367 Number triangle T(n,k)=C(n+k,2k)*k! 2
 1, 1, 1, 1, 3, 2, 1, 6, 10, 6, 1, 10, 30, 42, 24, 1, 15, 70, 168, 216, 120, 1, 21, 140, 504, 1080, 1320, 720, 1, 28, 252, 1260, 3960, 7920, 9360, 5040, 1, 36, 420, 2772, 11880, 34320, 65520, 75600, 40320, 1, 45, 660, 5544, 30888, 120120, 327600, 604800 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums are A155857. Diagonal sums are A084261. Reversal of A155856. LINKS Harvey P. Dale, Table of n, a(n) for n = 0..1000 FORMULA G.f.: 1/(1-x-xy/(1-x-xy/(1-x-2xy/(1-x-2xy/(1-x-3xy/(1-x-3xy/(1-... (continued fraction). EXAMPLE Triangle begins 1, 1, 1, 1, 3, 2, 1, 6, 10, 6, 1, 10, 30, 42, 24, 1, 15, 70, 168, 216, 120, 1, 21, 140, 504, 1080, 1320, 720, 1, 28, 252, 1260, 3960, 7920, 9360, 5040, 1, 36, 420, 2772, 11880, 34320, 65520, 75600, 40320 MATHEMATICA Flatten[Table[Binomial[n+k, 2k]k!, {n, 0, 10}, {k, 0, n}]] (* Harvey P. Dale, Jun 17 2015 *) CROSSREFS Sequence in context: A088617 A190909 A144250 * A193593 A181853 A008276 Adjacent sequences:  A156364 A156365 A156366 * A156368 A156369 A156370 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Feb 08 2009 STATUS approved

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Last modified October 24 01:08 EDT 2018. Contains 316541 sequences. (Running on oeis4.)