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A084214 Inverse binomial transform of a math magic problem. +0
4
1, 1, 4, 6, 14, 26, 54, 106, 214, 426, 854, 1706, 3414, 6826, 13654, 27306, 54614, 109226, 218454, 436906, 873814, 1747626, 3495254, 6990506, 13981014, 27962026, 55924054, 111848106, 223696214, 447392426, 894784854, 1789569706, 3579139414 (list; graph; listen)
OFFSET

0,3

COMMENT

Inverse binomial transform of A060816.

FORMULA

a(n)=(5*2^n-3*0^n+4(-1)^n)/6; G.f.: (1+x^2)/((1+x)(1-2x)); E.g.f.: (5exp(2x)-3exp(0)+4exp(-x))/6.

The binomial transform of A084214(n+1) is A020989(n). a(n)=A001045(n-1)+A001045(n+1)-0^n/2. - Paul Barry (pbarry(AT)wit.ie), May 04 2004

a(n)=sum{k=0..n, A001045(n+1)C(1, k/2)(1+(-1)^k)/2} - Paul Barry (pbarry(AT)wit.ie), Oct 15 2004

CROSSREFS

Adjacent sequences: A084211 A084212 A084213 this_sequence A084215 A084216 A084217

Sequence in context: A097271 A126867 A027632 this_sequence A030138 A009849 A103419

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 19 2003

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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