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 A201093 Triangle T(n,k), read by rows, given by (0,1,-1,-1,1,1,-1,-1,1,1,-1,-1,1,...) DELTA (1,0,0,0,0,0,0,0,0,0,0,...) where DELTA is the operator defined in A084938. 1
 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 3, 1, 0, 0, 2, 3, 4, 1, 0, 2, 2, 4, 6, 5, 1, 0, 0, 4, 6, 8, 10, 6, 1, 0, 5, 5, 9, 13, 15, 15, 7, 1, 0, 0, 10, 15, 20, 25, 26, 21, 8, 1, 0, 14, 14, 24, 34, 41, 45, 42, 28, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS Riordan array (1,xf(x)) where f(x) is g.f. of A097331. Row sums are in A001405. LINKS FORMULA Sum_{k, 0<=k<=n} T(n,k)*x^k = A000007(n), A001405(n), A098617(n) for x = 0,1,2 respectively. EXAMPLE Triangle begins : 1 0, 1 0, 1, 1 0, 0, 2, 1 0, 1, 1, 3, 1 0, 0, 2, 3, 4, 1 0, 2, 2, 4, 6, 5, 1 0, 0, 4, 6, 8, 10, 6, 1 0, 5, 5, 9, 13, 15, 15, 7, 1 0, 0, 10, 15, 20, 25, 26, 21, 8, 1 0, 14, 14, 24, 34, 41, 45, 42, 28, 9, 1 0, 0, 28, 42, 56, 70, 78, 77, 64, 36, 10, 1 0, 42, 42, 70, 98, 120, 136, 140, 126, 93, 45, 11, 1 CROSSREFS Cf. Diagonals : A000012, A001477, A000217, A000215, Columns :A000007, A097331, A089408 Sequence in context: A294220 A214015 A137560 * A131255 A344566 A198295 Adjacent sequences: A201090 A201091 A201092 * A201094 A201095 A201096 KEYWORD nonn,tabl AUTHOR Philippe Deléham, Nov 26 2011 STATUS approved

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Last modified February 4 07:13 EST 2023. Contains 360046 sequences. (Running on oeis4.)