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A070313 (2^n - (2*n+1). +0
4
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; listen)
OFFSET

0,5

REFERENCES

D. P. Roselle, Permutations by number of rises and successions, Proc. Amer. Math. Soc., 19 (1968), 8-16.

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

CROSSREFS

Second diagonal of A046739.

Adjacent sequences: A070310 A070311 A070312 this_sequence A070314 A070315 A070316

Sequence in context: A137182 A011927 A083012 this_sequence A050894 A001354 A088656

KEYWORD

sign

AUTHOR

njas, May 16 2002

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.


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