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Search: id:A001120
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| A001120 |
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a(1) = 1; for n > 1, a(n) = n*a(n-1) + (-1)^n.
(Formerly M2760 N1110)
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+0
4
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| 1, 3, 8, 33, 164, 985, 6894, 55153, 496376, 4963761, 54601370, 655216441, 8517813732, 119249392249, 1788740883734, 28619854139745, 486537520375664, 8757675366761953, 166395831968477106, 3327916639369542121
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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Nearest integer to n!(1+1/e).
a(n) = A000166(n) + n! . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 04 2005
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PROGRAM
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(PARI) a(n)=if(n<2, n>0, n*a(n-1)+(-1)^n)
(PARI) a(n)=if(n<1, 0, n!*polcoeff((1+exp(-x+x*O(x^n)))/(1-x), n))
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CROSSREFS
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A000166 has a similar recurrence.
Sequence in context: A091831 A120892 A109655 this_sequence A117722 A024419 A094448
Adjacent sequences: A001117 A001118 A001119 this_sequence A001121 A001122 A001123
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KEYWORD
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nonn,easy
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AUTHOR
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njas, Simon Plouffe (plouffe(AT)math.uqam.ca)
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