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A092634 a(n) = 1 - Sum(k*k!), for k = 2..n. 0
-3, -21, -117, -717, -5037, -40317, -362877, -3628797, -39916797, -479001597, -6227020797, -87178291197, -1307674367997, -20922789887997, -355687428095997, -6402373705727997, -121645100408831997, -2432902008176639997 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Appeared in University of Texas Interscholastic League High School Number Sense District Test, 2004

LINKS

Table of n, a(n) for n=2..19.

Index entries for linear recurrences with constant coefficients, signature (2, 0, -2, 1).

FORMULA

a(n) = 1 - Sum(k*k!), for k = 2..n.

Conjecture: a(n) +(-n-3)*a(n-1) +(2*n+1)*a(n-2) +(-n+1)*a(n-3)=0. - R. J. Mathar, Sep 27 2014

MATHEMATICA

Table[i; 1 - Sum[n n!, {n, 2, i}], {i, 2, 20}]

CROSSREFS

Cf. A033312.

Sequence in context: A183404 A121140 A005057 * A178537 A084159 A046727

Adjacent sequences:  A092631 A092632 A092633 * A092635 A092636 A092637

KEYWORD

sign

AUTHOR

Doug Ray (draymath(AT)iastate.edu), Apr 11 2004

STATUS

approved

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Last modified June 24 07:19 EDT 2017. Contains 288697 sequences.