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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
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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
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PROG
| (MAGMA) [(n-1)*2^n + 2: n in [0..30]]; // Vincenzo Librandi, Sep 25 2011
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CROSSREFS
| a(n)=T(1, n), array T given by A048494.
Sequence in context: A059413 A197055 A062026 * A089380 A180282 A081154
Adjacent sequences: A048492 A048493 A048494 * A048496 A048497 A048498
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| Better description from John W. Layman (layman(AT)math.vt.edu) May 04 1999
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