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A108346 Least positive number a(n) such that P2(2n+1,q) divides Q(a(n),q), where both P2 and Q are polynomials in GF(2) and P2(n,q) is the n-th binary polynomial, i.e., P2(n,q) = Sum[i>=0, b(i)q^i], with n = Sum[i>=0, b(i)2^i]; and Q(m,q) is 1 + q^m. 0
1, 1, 2, 3, 3, 7, 7, 4, 4, 15, 6, 7, 15, 6, 7, 5, 5, 21, 31, 14, 31, 15, 12, 31, 21, 8, 15, 31, 14, 31, 31, 6, 6, 63, 14, 31, 9, 28, 31, 15, 14, 21, 8, 21, 31, 63, 15, 30, 63, 10, 21, 63, 28, 12, 63, 31, 31, 63, 21, 12, 15, 31, 30, 7, 7, 127, 93, 60, 127, 15, 62, 127, 127, 62 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

LINKS

J. N. Cooper, D. Eichhorn and K. O'Bryant, Reciprocals of binary power series

CROSSREFS

Cf. A000374.

Sequence in context: A193713 A171824 A143444 * A181850 A062761 A117524

Adjacent sequences:  A108343 A108344 A108345 * A108347 A108348 A108349

KEYWORD

nonn

AUTHOR

Ralf Stephan, Jul 01 2005

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Last modified February 16 09:27 EST 2012. Contains 205904 sequences.