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Search: id:A048495
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A048495 (n-1)*2^n + 2. +0
5
1, 2, 6, 18, 50, 130, 322, 770, 1794, 4098, 9218, 20482, 45058, 98306, 212994, 458754, 983042, 2097154, 4456450, 9437186, 19922946, 41943042, 88080386, 184549378, 385875970, 805306370, 1677721602, 3489660930, 7247757314 (list; graph; listen)
OFFSET

0,2

COMMENT

Binomial transform of 1 followed by the odd numbers (2n-1+2*0^n, or abs(A060747)). Binomial transform is A084643. - Paul Barry (pbarry(AT)wit.ie), Jun 09 2003

FORMULA

a(n) - 1 == sum(i = 0 to n-1) { (n-i) * 2^(n-i-1) } == n*2^(n-1) + (n-1)*2^(n-2) + (n-2)*2^(n-3) + ... + 1*(2^0) - Matthew Erbst (matt(AT)erbst.org), Apr 19 2006

CROSSREFS

a(n)=T(1, n), array T given by A048494.

Adjacent sequences: A048492 A048493 A048494 this_sequence A048496 A048497 A048498

Sequence in context: A018027 A059413 A062026 this_sequence A089380 A081154 A002900

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

EXTENSIONS

Better description from John W. Layman (layman(AT)math.vt.edu) May 04 1999

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.


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