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A045761 Define polynomials Pn by P0 = 0, P1 = x, P2 = P1 + P0, P3 = P2 * P1, P4 = P3 + P2, etc. alternately adding or multiplying. For even n>2k, then first k coefficients of Pn remain unchanged and their values are the first k terms of the sequence. +0
1
0, 1, 1, 1, 2, 3, 6, 12, 24, 50, 107, 232, 508, 1124, 2513, 5665, 12858, 29356, 67371, 155345, 359733, 836261, 1950829, 4565305, 10714501, 25212843, 59474318, 140609809, 333126672, 790764280, 1880489541, 4479494059, 10687448937 (list; graph; listen)
OFFSET

0,5

CROSSREFS

Cf. A039941, A001696.

Sequence in context: A110164 A035055 A119559 this_sequence A077903 A038086 A032305

Adjacent sequences: A045758 A045759 A045760 this_sequence A045762 A045763 A045764

KEYWORD

nonn

AUTHOR

James Boudinot (jboudinot(AT)yahoo.com)

EXTENSIONS

More terms from Michael Somos, May 19 2000

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Last modified December 2 11:54 EST 2009. Contains 167921 sequences.


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