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A122572 a(1)=a(2)=1, a(n)=-14a(n-1)-a(n-2) +0
1
1, 1, -15, 209, -2911, 40545, -564719, 7865521, -109552575, 1525870529, -21252634831, 296011017105, -4122901604639, 57424611447841, -799821658665135, 11140078609864049, -155161278879431551, 2161117825702177665, -30100488280951055759, 419245718107612602961 (list; graph; listen)
OFFSET

1,3

COMMENT

Characteristic polynomial associated with the ellipic cubic invariant x^8+14*x^4+1.

REFERENCES

Gareth Jones and David Singerman, Belyi Functions, Hypermaps and Galois Groups, Bull. London Math. Soc., 28 (1996), 561-590.

Henry MacKean and Victor Moll, Ellipic Curves, Cambridge University Press, New York, 1997, page 22

LINKS

Tanya Khovanova, Recursive Sequences

MATHEMATICA

M = {{0, 1, 0, 0, 0, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 0, 1}, {-1, 0, 0, 0, -14, 0, 0, 0}}; v[1] = Table[1, {n, 1, 8}] v[n_] := v[n] = M.v[n - 1] a = Table[v[4*n][[1]], {n, 1, 25}]

CROSSREFS

Adjacent sequences: A122569 A122570 A122571 this_sequence A122573 A122574 A122575

Sequence in context: A089138 A051813 A028230 this_sequence A067560 A019553 A112496

KEYWORD

sign

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 17 2006

EXTENSIONS

Edited by njas, Dec 04 2006

page 1

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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