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 A191687 Table T(n,k)=[Ceiling[1/2*((k+1)^n+(1+(-1)^k)/2)] read by antidiagonals 0
 1, 1, 1, 1, 2, 2, 1, 1, 4, 5, 2, 1, 1, 8, 14, 8, 3, 1, 1, 16, 41, 32, 13, 3, 1, 1, 32, 122, 128, 63, 18, 4, 1, 1, 64, 365, 512, 313, 108, 25, 4, 1, 1, 128, 1094, 2048, 1563, 648, 172, 32, 5, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Top left corner 1, 1, 1,  1,  5,... 1, 1, 2,  2,  3,... 1, 2, 5,  8, 13,... 1, 4,14, 32, 63,... 1, 8,41,128,313,... ...................... T(n,k) is the number of compositions of even natural numbers into n parts <=k LINKS EXAMPLE T(2,4)=13: there are 13 compositions of even natural numbers into 2 parts <=4 0: (0,0); 2: (0,2), (2,0), (1,1); 4: (0,4), (4,0), (1,3), (3,1), (2,2); 6: (2,4), (4,2), (3,3); 8: (4,4). MATHEMATICA Table[Table[Ceiling[1/2*((k+1)^n+(1+(-1)^k)/2)], {n, 0, 9}, {k, 0, 9}]] CROSSREFS Rows sums gives: A000012, A004526, A000982, A036486, A171714, A191484, A191489, A191494, A191495, A191496 Columns sums gives: A000012, A000079, A007051, A004171, A034478, A081341, A034494, A092811, A083884, A093143 Sequence in context: A133135 A292189 A284992 * A177254 A132311 A254414 Adjacent sequences:  A191684 A191685 A191686 * A191688 A191689 A191690 KEYWORD nonn,tabl AUTHOR Adi Dani, Jun 11 2011 STATUS approved

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Last modified August 18 16:25 EDT 2018. Contains 313833 sequences. (Running on oeis4.)