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Search: id:A081654
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| 1, 8, 32, 128, 512, 2048, 8192, 32768, 131072, 524288, 2097152, 8388608, 33554432, 134217728, 536870912, 2147483648, 8589934592, 34359738368, 137438953472, 549755813888, 2199023255552, 8796093022208, 35184372088832
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OFFSET
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0,2
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COMMENT
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Binomial transform of A081632. Inverse binomial transform of A081655.
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FORMULA
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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
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EXAMPLE
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a(0)=2*4^0-0^0=2-1=1 (use 0^0=1).
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CROSSREFS
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Sequence in context: A100312 A003201 A036393 this_sequence A045684 A045675 A086348
Adjacent sequences: A081651 A081652 A081653 this_sequence A081655 A081656 A081657
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 26 2003
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