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 A199512 Triangle T(n,k) = Fibonacci(n+k+1), related to A000045 (Fibonacci numbers). 2
 1, 1, 2, 2, 3, 5, 3, 5, 8, 13, 5, 8, 13, 21, 34, 8, 13, 21, 34, 55, 89, 13, 21, 34, 55, 89, 144, 233, 21, 34, 55, 89, 144, 233, 377, 610, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Michel Marcus, Rows n=0..50 of triangle, flattened László Németh, On the Binomial Interpolated Triangles, Journal of Integer Sequences, Vol. 20 (2017), Article 17.7.8. See p. 15. FORMULA T(n,k) = T(n,k-1) + T(n-1,k-1) = T(n-1,k-1) + T(n-1,k). T(n,0) = Fibonacci(n+1) = A000045(n+1). EXAMPLE Triangle begins : 1 1, 2 2, 3, 5 3, 5, 8, 13 5, 8, 13, 21, 34 8, 13, 21, 34, 55, 89 PROG (PARI) T(n, k) = fibonacci(n+k+1); tabl(nn) = for (n=0, nn, for (k=0, n, print1(T(n, k), ", ")); print); \\ Michel Marcus, Aug 01 2017 CROSSREFS Cf. A000045, A199334. Rows sums : A096140, Diagonal sums : A128620. Sequence in context: A067330 A202874 A355197 * A303969 A304931 A304669 Adjacent sequences: A199509 A199510 A199511 * A199513 A199514 A199515 KEYWORD easy,nonn,tabl AUTHOR Philippe Deléham, Nov 07 2011 EXTENSIONS More terms from Michel Marcus, Aug 01 2017 STATUS approved

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Last modified December 7 04:29 EST 2022. Contains 358649 sequences. (Running on oeis4.)