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A094027 Expansion of x(1+100x)/((1-x^2)(1-100x^2)). 1
0, 1, 100, 101, 10100, 10101, 1010100, 1010101, 101010100, 101010101, 10101010100, 10101010101, 1010101010100, 1010101010101, 101010101010100, 101010101010101, 10101010101010100, 10101010101010101 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The expansion of x(1+kx)/((1-x^2)(1-kx^2)) has a(n)=k^((n+1)/2)/(2(sqrt(k)-1))-(-sqrt(k))^(n+1)/(2(sqrt(k)+1))-(-1)^n/2-(k+1)/(2(k-1))

LINKS

Table of n, a(n) for n=0..17.

Index to sequences with linear recurrences with constant coefficients, signature (0,101,0,-100).

FORMULA

a(n)=2^n*5^(n+1)((-1)^n/11+1/9)-(-1)^n/2-101/198

CROSSREFS

Cf. A075427, A094025, A080610 (interpreted as binary), A094026.

Sequence in context: A178530 A063010 A215022 * A204582 A204583 A092633

Adjacent sequences:  A094024 A094025 A094026 * A094028 A094029 A094030

KEYWORD

easy,nonn,changed

AUTHOR

Paul Barry, Apr 22 2004

STATUS

approved

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Last modified December 22 05:04 EST 2014. Contains 252328 sequences.