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A048286 Eigensequence of a sequence transformation. +0
2
1, 2, 10, 80, 874, 12092, 202384, 3973580, 89515690, 2275453700, 64418414380, 2009835207800, 68512342137040, 2533368817192280, 100991942945221660, 4317627768285138020, 197054129197204173610, 9562339765515442736180 (list; graph; listen)
OFFSET

0,2

COMMENT

G.f. A(x) satisfies A(x)=(A(0)+A(x/(1-x)^2)(1+x)/(1-x))/2.

REFERENCES

C. J. Smyth, The mean values of algebraic integers, Math. Comp 42 (1984), 663-681; see eqs. (5.4), (5.8), (5.12).

PROGRAM

(PARI) a(n)=local(A); if(n<1, n==0, A=1; for(k=1, n, A=1+Pol(subst(A+x*O(x^k), x, x/(1-x)^2)*(1+x)/(1-x))-A); polcoeff(A, n))

CROSSREFS

Sequence in context: A152168 A003578 A152600 this_sequence A133480 A008544 A064312

Adjacent sequences: A048283 A048284 A048285 this_sequence A048287 A048288 A048289

KEYWORD

nonn

AUTHOR

Chris Smyth (chris(AT)maths.ed.ac.uk)

EXTENSIONS

Edited by Michael Somos, Sep 24 2003

page 1

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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