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A081654 2*4^n-0^n. 2
1, 8, 32, 128, 512, 2048, 8192, 32768, 131072, 524288, 2097152, 8388608, 33554432, 134217728, 536870912, 2147483648, 8589934592, 34359738368, 137438953472, 549755813888, 2199023255552, 8796093022208, 35184372088832 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A081632. Inverse binomial transform of A081655.

FORMULA

a(0)=1, a(n)=2*4^n, n>0 G.f.: (1+4x)/(1-4x) E.g.f. 2exp(4x)-1

With interpolated zeros, this is 2^n-0^n+(-2)^n. - Paul Barry (pbarry(AT)wit.ie), Sep 06 2003

a(n)=A081294(n+1), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 17 2008]

EXAMPLE

a(0)=2*4^0-0^0=2-1=1 (use 0^0=1).

CROSSREFS

Sequence in context: A036393 A196097 A183915 * A200153 A188121 A045684

Adjacent sequences:  A081651 A081652 A081653 * A081655 A081656 A081657

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 26 2003

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Last modified February 14 11:17 EST 2012. Contains 205623 sequences.