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 A214582 Riordan array (1/(1-x-x^2), x*(1+2*x)). 0
 1, 1, 1, 2, 3, 1, 3, 4, 5, 1, 5, 7, 10, 7, 1, 8, 11, 15, 20, 9, 1, 13, 18, 25, 35, 34, 11, 1, 21, 29, 40, 55, 75, 52, 13, 1, 34, 47, 65, 90, 125, 143, 74, 15, 1, 55, 76, 105, 145, 200, 275, 247, 100, 17, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS First column is A000045 (Fibonacci numbers) starting with 1. Second column is A000032 (Lucas numbers) starting with 1. LINKS FORMULA T(n,0) = T(n-1,0) + T(n-2,0), T(n,k) = T(n-1,k-1) + 2*T(n-2,k-1) for k>0. Sum_{k, 0<=k<=n} T(n,k) = A094687(n+2). T(2n,n) = A081567(n). EXAMPLE Triangle begins 1 1, 1 2, 3, 1 3, 4, 5, 1 5, 7, 10, 7, 1 8, 11, 15, 20, 9, 1 13, 18, 25, 35, 34, 11, 1 21, 29, 40, 55, 75, 52, 13, 1 34, 47, 65, 90, 125, 143, 74, 15, 1 55, 76, 105, 145, 200, 275, 247, 100, 17, 1 ... Production array begins 1, 1 1, 2, 1 -2, -4, 2, 1 8, 16, -4, 2, 1 -40, -80, 16, -4, 2, 1 224, 448, -80, 16, -4, 2, 1 -1344, -2688, 448, -80, 16, -4, 2, 1 8448, 16896, -2688, 448, -80, 16, -4, 2, 1 ... which is based on A052701. CROSSREFS Cf. A000032, A000045, A002522, A005408, A104726, A123265 Sequence in context: A322589 A185312 A185311 * A050375 A300724 A154722 Adjacent sequences:  A214579 A214580 A214581 * A214583 A214584 A214585 KEYWORD nonn,tabl AUTHOR Philippe Deléham, Mar 06 2013 STATUS approved

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Last modified October 29 20:41 EDT 2020. Contains 338073 sequences. (Running on oeis4.)