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 A349903 Array read by ascending antidiagonals. Inverse Euler transform of the right-shifted k-bonacci numbers. 1
 0, 0, 1, 0, 1, 0, 0, 1, 1, -1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, -1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 3, 4, 0, 0, 0, 0, 0, 0, 1, 2, 6, 5, 0, 0, 0, 0, 0, 0, 0, 1, 4, 10, 8, 0, 0, 0, 0, 0, 0, 0, 1, 2, 7, 18, 11, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 14, 31, 18, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,26 LINKS EXAMPLE Array starts: [0] 0, 1, 0, -1, 0,  0, 0,  0,  0,  0,  0,  0,   0, ... [1] 0, 1, 1,  0, 0, -1, 0,  0,  0,  0,  0,  0,   0, ... [2] 0, 1, 1,  1, 2,  2, 4,  5,  8, 11, 18, 25,  40, ... [3] 0, 0, 1,  1, 2,  3, 6, 10, 18, 31, 56, 96, 172, ... [4] 0, 0, 0,  1, 1,  2, 4,  7, 14, 26, 50, 93, 178, ... [5] 0, 0, 0,  0, 1,  1, 2,  4,  8, 15, 30, 58, 114, ... [6] 0, 0, 0,  0, 0,  1, 1,  2,  4,  8, 16, 31,  62, ... [7] 0, 0, 0,  0, 0,  0, 1,  1,  2,  4,  8, 16,  32, ... [8] 0, 0, 0,  0, 0,  0, 0,  1,  1,  2,  4,  8,  16, ... [9] 0, 0, 0,  0, 0,  0, 0,  0,  1,  1,  2,  4,   8, ... . Compare the rows with the columns of A349802. MAPLE read transforms; F := proc(n, k) option remember;      ifelse(k < 2, k, add(F(n, k-j), j = 1..min(n, k))) end: Frow := (n, len) -> [seq(0, j = 0..n-3), seq(F(n, k), k = 0..len)]: Arow := (n, len) -> EULERi(Frow(n, len)): for n from 0 to 9 do Arow(n, 14 - n) od; CROSSREFS Rows are the inverse Euler transforms of A063524, A057427, A000045, A000073, A000078, A001591, A001592. Cf. A092921, A349802 Sequence in context: A281245 A284499 A280457 * A308118 A017857 A127842 Adjacent sequences:  A349900 A349901 A349902 * A349904 A349905 A349906 KEYWORD sign,tabl AUTHOR Peter Luschny, Dec 05 2021 STATUS approved

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Last modified August 11 15:10 EDT 2022. Contains 356066 sequences. (Running on oeis4.)