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 A177696 A symmetrical triangle from the generalization of A051597:m=2;a(n,k)=m*a(n - 1, k - 1) + m*a(n - 1, k) 0
 1, 2, 2, 3, 8, 3, 4, 22, 22, 4, 5, 52, 88, 52, 5, 6, 114, 280, 280, 114, 6, 7, 240, 788, 1120, 788, 240, 7, 8, 494, 2056, 3816, 3816, 2056, 494, 8, 9, 1004, 5100, 11744, 15264, 11744, 5100, 1004, 9, 10, 2026, 12208, 33688, 54016, 54016, 33688, 12208, 2026, 10 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Row sums are: {1, 4, 14, 52, 202, 800, 3190, 12748, 50978, 203896,...]. The leading ones adjusted form a(n,k)-a(n,1)+1 gives of A051597: {1}, {1, 1}, {1, 2, 1}, {1, 4, 4, 1}, {1, 7, 10, 7, 1},... Of this sequence it is: {1}, {1, 1}, {1, 6, 1}, {1, 19, 19, 1}, {1, 48, 84, 48, 1},... LINKS FORMULA m=2; a(n,k)=m*a(n - 1, k - 1) + m*a(n - 1, k) EXAMPLE {1}, {2, 2}, {3, 8, 3}, {4, 22, 22, 4}, {5, 52, 88, 52, 5}, {6, 114, 280, 280, 114, 6}, {7, 240, 788, 1120, 788, 240, 7}, {8, 494, 2056, 3816, 3816, 2056, 494, 8}, {9, 1004, 5100, 11744, 15264, 11744, 5100, 1004, 9}, {10, 2026, 12208, 33688, 54016, 54016, 33688, 12208, 2026, 10} MATHEMATICA Clear[A, n, k, m] m = 2; A[n_, 1] := n; A[n_, n_] := n; A[n_, k_] := A[n, k] = m*A[n - 1, k - 1] + m*A[n - 1, k]; A[1, 1] := 1; b = Table[A[n, k], {n, 10}, {k, n}]; TableForm[%]; Flatten[b] CROSSREFS Cf. A051597 Sequence in context: A145596 A186753 A135835 * A134574 A141617 A267644 Adjacent sequences:  A177693 A177694 A177695 * A177697 A177698 A177699 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, May 11 2010 STATUS approved

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Last modified August 11 06:25 EDT 2020. Contains 336422 sequences. (Running on oeis4.)