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 A125103 Triangle read by rows: T(n,k)=binom(n,k)+2^k*binom(n,k+1) (0<=k<=n). 1
 1, 2, 1, 3, 4, 1, 4, 9, 7, 1, 5, 16, 22, 12, 1, 6, 25, 50, 50, 21, 1, 7, 36, 95, 140, 111, 38, 1, 8, 49, 161, 315, 371, 245, 71, 1, 9, 64, 252, 616, 966, 952, 540, 136, 1, 10, 81, 372, 1092, 2142, 2814, 2388, 1188, 265, 1, 11, 100, 525, 1800, 4242, 6972, 7890, 5880 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums = A094374: (1, 3, 8, 21, 56,...) Binomial transform of the infinite bidiagonal matrix with (1,1,1,...) in the main diagonal and (1,2,4,8,...) in the subdiagonal. LINKS EXAMPLE First few rows of the triangle are: 1; 2, 1; 3, 4, 1; 4, 9, 7, 1; 5, 16, 22, 12, 1; 6, 25, 50, 50, 21, 1; 7, 36, 95, 140, 111, 38, 1; ... MAPLE T:=(n, k)->binomial(n, k)+2^k*binomial(n, k+1): for n from 0 to 11 do seq(T(n, k), k=0..n) od; # yields sequence in triangular form CROSSREFS Cf. A094374. Sequence in context: A104698 A067066 A210219 * A171275 A284873 A107616 Adjacent sequences:  A125100 A125101 A125102 * A125104 A125105 A125106 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Nov 20 2006 EXTENSIONS Edited by N. J. A. Sloane, Nov 29 2006 STATUS approved

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Last modified June 17 22:17 EDT 2019. Contains 324200 sequences. (Running on oeis4.)