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 A211399 Triangle T(n,k), 0 <= k <= n, given by (0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, ...) DELTA (1, 0, 3, 0, 5, 0, 7, 0, 9, 0, ...) where DELTA is the operator defined in A084938. 3
 1, 0, 1, 0, 1, 1, 0, 1, 5, 1, 0, 1, 15, 18, 1, 0, 1, 37, 129, 58, 1, 0, 1, 83, 646, 877, 179, 1, 0, 1, 177, 2685, 8030, 5280, 543, 1, 0, 1, 367, 10002, 56285, 82610, 29658, 1636, 1, 0, 1, 749, 34777, 335162 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS Contains A156920 as submatrix. Row-reversal of A102365. - Philippe Deléham, Feb 12 2013 LINKS FORMULA T(n,k) = k*T(n-1,k) + (2n-2k+1)*T(n-1,k-1) , T(n,n) = 1, T(n,k) = 0 if k<0 or if k>n. T(n,k) = A185411(n,k)/(2^(n-k)). Sum_{k, 0<=k<=n} T(n,k)*x^(n-k) = A000012(n), A014307(n), A001147(n) for x = 0, 1, 2 respectively . G.f.: 1/(1-xy/(1-x/(1-3xy/(1-2x/(1-5xy/(1-3x/(1-7xy/(1- ...(continued fraction). EXAMPLE Triangle begins : 1 0, 1 0, 1, 1 0, 1, 5, 1 0, 1, 15, 18, 1 0, 1, 37, 129, 58, 1 0, 1, 83, 646, 877, 179, 1 CROSSREFS Left hand column sequences: A000007, A000012, A050488, A142965, A142966, A142968. Right hand column sequences: A000340, A156922, A156923, A156924. Row sums A014307(n). Sequence in context: A007912 A019755 A085475 * A265192 A157012 A102365 Adjacent sequences:  A211396 A211397 A211398 * A211400 A211401 A211402 KEYWORD easy,nonn,tabl AUTHOR Philippe Deléham, Feb 08 2013 STATUS approved

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Last modified February 19 13:03 EST 2020. Contains 332044 sequences. (Running on oeis4.)