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 A247506 Generalized Fibonacci numbers: square array A(n,k) read by antidiagonals, A(n,k) = [x^k]((1-sum_{j=1..n} x^j)^(-1)), (n>=0, k>=0). 2
 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 3, 1, 0, 1, 1, 2, 4, 5, 1, 0, 1, 1, 2, 4, 7, 8, 1, 0, 1, 1, 2, 4, 8, 13, 13, 1, 0, 1, 1, 2, 4, 8, 15, 24, 21, 1, 0, 1, 1, 2, 4, 8, 16, 29, 44, 34, 1, 0, 1, 1, 2, 4, 8, 16, 31, 56, 81, 55, 1, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,13 LINKS EXAMPLE [n\k][0][1][2][3][4] [5] [6] [7]  [8]  [9] [10]  [11]  [12]   [0] 1, 0, 0, 0, 0,  0,  0,  0,   0,   0,   0,    0,    0   [1] 1, 1, 1, 1, 1,  1,  1,  1,   1,   1,   1,    1,    1   [2] 1, 1, 2, 3, 5,  8, 13, 21,  34,  55,  89,  144,  233  [A000045]   [3] 1, 1, 2, 4, 7, 13, 24, 44,  81, 149, 274,  504,  927  [A000073]   [4] 1, 1, 2, 4, 8, 15, 29, 56, 108, 208, 401,  773, 1490  [A000078]   [5] 1, 1, 2, 4, 8, 16, 31, 61, 120, 236, 464,  912, 1793  [A001591]   [6] 1, 1, 2, 4, 8, 16, 32, 63, 125, 248, 492,  976, 1936  [A001592]   [7] 1, 1, 2, 4, 8, 16, 32, 64, 127, 253, 504, 1004, 2000  [A066178]   [8] 1, 1, 2, 4, 8, 16, 32, 64, 128, 255, 509, 1016, 2028  [A079262]   [.] .  .  .  .  .   .   .   .    .    .    .     .     . '[oo] 1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048  [A011782] ' As a triangular array, starts: 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 3, 1, 0, 1, 1, 2, 4, 5, 1, 0, 1, 1, 2, 4, 7, 8, 1, 0, 1, 1, 2, 4, 8, 13, 13, 1, 0, 1, 1, 2, 4, 8, 15, 24, 21, 1, 0, MAPLE A := (n, k) -> coeff(series((1-add(x^j, j=1..n))^(-1), x, k+2), x, k): seq(print(seq(A(n, k), k=0..12)), n=0..9); CROSSREFS Cf. A247505, A011782, A000045, A000073, A000078, A001591, A001592, A066178, A079262. Cf. A048887, A092921, A144406. Sequence in context: A290217 A293285 A262553 * A182172 A143841 A276719 Adjacent sequences:  A247503 A247504 A247505 * A247507 A247508 A247509 KEYWORD tabl,nonn AUTHOR Peter Luschny, Nov 02 2014 STATUS approved

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Last modified January 23 18:05 EST 2019. Contains 319400 sequences. (Running on oeis4.)