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Search: id:A094015
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A094015 Expansion of (1+4x)/(1-8x^2). +0
5
1, 4, 8, 32, 64, 256, 512, 2048, 4096, 16384, 32768, 131072, 262144, 1048576, 2097152, 8388608, 16777216, 67108864, 134217728, 536870912, 1073741824, 4294967296, 8589934592, 34359738368, 68719476736, 274877906944 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=2^(3n/2)(1+sqrt(2)+(1-sqrt(2))(-1)^n)/2

a(n)=(1/4)(3+(-1)^n)8^floor((n+1)/2) - Paul Barry (pbarry(AT)wit.ie), Jul 14 2004

a(n)=(1+sqrt(2))(2sqrt(2))^n/2+(1-sqrt(2))(-2sqrt(2))^n/2. Third binomial transform is A002315 (NSW numbers). - Paul Barry (pbarry(AT)wit.ie), Jul 17 2004

a(n)=2^A007494(n). - Paul Barry (pbarry(AT)wit.ie), Aug 18 2007

Row sums of triangle A135838 - Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 01 2007

CROSSREFS

Cf. A094014.

Cf. A135838.

Sequence in context: A124143 A034041 A050442 this_sequence A094867 A086344 A068205

Adjacent sequences: A094012 A094013 A094014 this_sequence A094016 A094017 A094018

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Apr 21 2004

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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