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 A112899 A skew Pell-Pascal triangle. 2
 1, 0, 2, 0, 1, 5, 0, 0, 4, 12, 0, 0, 1, 14, 29, 0, 0, 0, 6, 44, 70, 0, 0, 0, 1, 27, 131, 169, 0, 0, 0, 0, 8, 104, 376, 408, 0, 0, 0, 0, 1, 44, 366, 1052, 985, 0, 0, 0, 0, 0, 10, 200, 1212, 2888, 2378, 0, 0, 0, 0, 0, 1, 65, 810, 3842, 7813, 5741, 0, 0, 0, 0, 0, 0, 12, 340, 3032, 11784 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Main diagonal is A000129. Row sums are A002605. Column sums are A006190(n+1). A skewed version of the Riordan array (1/(1-2x-x^2),x/(1-2x-x^2)), see A054456 . - Philippe Deléham, Nov 21 2007 Triangle, read by rows, given by [0,1/2,-1/2,0,0,0,0,0,...] DELTA [2,1/2,-1/2,0,0,0,0,0,...] where DELTA is the operator defined in A084938. [From Philippe Deléham, Jan 30 2010] LINKS FORMULA G.f.: 1/(1-2xy(1+x/2)-x^2*y^2); T(n, k)=sum{j=0..floor((2k-n)/2), C(k-j, n-k)C(2k-n, j)2^(2k-2j-n)}; T(n, k) = 2*T(n-1, k-1) + T(n-2, k-1) +T(n-2, k-2). EXAMPLE Rows begin 1; 0, 2; 0, 1, 5; 0, 0, 4, 12; 0, 0, 1, 14, 29; 0, 0, 0, 6, 44, 70; 0, 0, 0, 1, 27, 131, 169; 0, 0, 0, 0, 8, 104, 376, 408; CROSSREFS Cf. A111006, A112906 [From Philippe Deléham, Jan 30 2010] Sequence in context: A244128 A016584 A293961 * A212808 A209687 A108263 Adjacent sequences:  A112896 A112897 A112898 * A112900 A112901 A112902 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Oct 05 2005 STATUS approved

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Last modified December 11 07:18 EST 2019. Contains 329914 sequences. (Running on oeis4.)