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A060836 Number of permutations of n letters where exactly 5 change position. 3
0, 0, 0, 0, 44, 264, 924, 2464, 5544, 11088, 20328, 34848, 56628, 88088, 132132, 192192, 272272, 376992, 511632, 682176, 895356, 1158696, 1480556, 1870176, 2337720, 2894320, 3552120, 4324320, 5225220, 6270264, 7476084, 8860544 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = 44*C(n, 5). a(n) = a(n-1)*n/(n-5).

G.f.: 44*x^5/(1-x)^6. [Colin Barker, Apr 22 2012]

EXAMPLE

a(8) = a(7) x 8/(8-5) = 924 x 8/3 = 2464

PROG

(PARI) { for (n=1, 1000, if (n>5, a*=n/(n - 5), if (n<5, a=0, a=44)); write("b060836.txt", n, " ", a); ) } \\ Harry J. Smith, Jul 19 2009

CROSSREFS

For changing 0, 1, 2, 3, 4, 5, n-4, n elements see A000012, A000004, A000217 (offset), A007290, A060008, A060836, A000475, A000166. Also see A000332, A008290.

Rencontre sequences are A000166 A000240 A000387 A000449 and A000475.

A diagonal of A008291.

Sequence in context: A031175 A098826 A160284 * A135182 A094794 A001689

Adjacent sequences:  A060833 A060834 A060835 * A060837 A060838 A060839

KEYWORD

nonn,easy

AUTHOR

Robert Goodhand (rgoodhand(AT)hotmail.com), May 12 2001

STATUS

approved

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Last modified May 16 09:28 EDT 2021. Contains 343940 sequences. (Running on oeis4.)