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A070313
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(2^n - (2*n+1).
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3
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0, -1, -1, 1, 7, 21, 51, 113, 239, 493, 1003, 2025, 4071, 8165, 16355, 32737, 65503, 131037, 262107, 524249, 1048535, 2097109, 4194259, 8388561, 16777167, 33554381, 67108811, 134217673, 268435399, 536870853, 1073741763, 2147483585
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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REFERENCES
| D. P. Roselle, Permutations by number of rises and successions, Proc. Amer. Math. Soc., 19 (1968), 8-16.
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FORMULA
| Binomial transform of (-1)^n!+!n. E.g.f. : (exp(x))^2-exp(x)-2xexp(x). - Paul Barry (pbarry(AT)wit.ie), May 13 2004
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MATHEMATICA
| lst={}; s=-1; Do[s+=s+n; AppendTo[lst, s], {n, 1, 5!, 2}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 18 2008]
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CROSSREFS
| Second diagonal of A046739.
Sequence in context: A146701 A146613 A083012 * A146733 A146709 A146400
Adjacent sequences: A070310 A070311 A070312 * A070314 A070315 A070316
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KEYWORD
| sign
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), May 16 2002
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