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A122051 Hone exponent of a Somos 6-like sequence: p(n)=(x^(n - 2)p(n - 2]p(n - 3) + p(n - 3)*p(n - 4))/p(n - 6). 0
0, 0, 0, 1, 2, 4, 7, 11, 17, 24, 35, 48, 63, 87, 111, 154, 192, 242, 313, 395, 493 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Table of n, a(n) for n=1..21.

A. N. W. Hone, Algebraic curves, integer sequences and a discrete Painlevé transcendent, arXiv:0807.2538 [nlin.SI], 2008; Proceedings of SIDE 6, Helsinki, Finland, 2004. [Set a(n)=d(n+3) on p. 8]

FORMULA

p(n)=(x^(n - 2)p(n - 2]p(n - 3) + p(n - 3)*p(n - 4))/p(n - 6) a(n) =Exponent[p[n], x]

MATHEMATICA

p[n_] := p[n] = Cancel[Simplify[(x^(n - 2)p[n - 2]p[n - 3] + p[n - 3]*p[n - 4])/p[n - 6]]]; p[ -6] = 1; p[ -5] = 1; p[ -4] = 1; p[ -3] = 1; p[ -2] = 1; p[ -1] = 1; Table[Exponent[p[n], x], {n, 0, 20}]

CROSSREFS

Cf. A014125.

Sequence in context: A175822 A078346 A301760 * A073471 A308825 A266901

Adjacent sequences:  A122048 A122049 A122050 * A122052 A122053 A122054

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Sep 13 2006

STATUS

approved

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Last modified September 25 18:27 EDT 2022. Contains 356986 sequences. (Running on oeis4.)