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 A119469 Triangle read by rows: row n gives coefficients (lowest degree first) of P_n(x), where P_0(x) = P_1(x) = 1; P_n(x) = P_{n-1}(x) + x^(n-2)*P_{n-2}(x). 5
 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 3, 1, 2, 2, 1, 2, 2, 3, 3, 3, 2, 2, 1, 2, 1, 2, 2, 3, 3, 5, 3, 4, 3, 3, 1, 2, 2, 1, 2, 2, 3, 3, 5, 5, 5, 5, 5, 4, 5, 3, 2, 2, 1, 2, 1, 2, 2, 3, 3, 5, 5, 7, 6, 7, 6, 8, 6, 7, 5, 5, 3, 3, 1, 2, 2, 1, 2, 2, 3, 3, 5, 5, 7, 8, 8, 8, 10, 9, 10, 10, 10, 8 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS P_n(x) has degree A002620(n). LINKS EXAMPLE Triangle begins: 1 1 2 2,1 2,1,2 2,1,2,2,1 2,1,2,2,3,1,2 2,1,2,2,3,3,3,2,2,1 2,1,2,2,3,3,5,3,4,3,3,1,2 2,1,2,2,3,3,5,5,5,5,5,4,5,3,2,2,1 MAPLE P[0]:=1; P[1]:=1; d:=[0, 0]; M:=14; for n from 2 to M do P[n]:=expand(P[n-1]+q^(n-2)*P[n-2]); lprint(seriestolist(series(P[n], q, M^2))); d:=[op(d), degree(P[n], q)]; od: d; CROSSREFS A variant of A127836. Rows converge to A003113. Sequence in context: A245977 A082389 A246127 * A127439 A218775 A191971 Adjacent sequences:  A119466 A119467 A119468 * A119470 A119471 A119472 KEYWORD nonn,tabf AUTHOR N. J. A. Sloane, Apr 10 2007 STATUS approved

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Last modified March 29 20:20 EDT 2020. Contains 333117 sequences. (Running on oeis4.)