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Search: id:A091739
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| A091739 |
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Third column (k=7) sequence of array A090216 ((5,5)-Stirling2) divided by 600. |
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1
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| 1, 4440, 12715200, 33158592000, 84365452800000, 213181366579200000, 537634980016128000000, 1355141067314135040000000, 3415172150786516582400000000, 8606389816065144913920000000000
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OFFSET
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0,2
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FORMULA
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a(n)= A090216(n+2, 7)/600, n>=0.
a(n)= ((5!)^n)*(1-2*6^(n+1)+binomial(7, 2)^(n+1))/(2*5). From eq.12 of the Blasiak et al. reference given in A007840 with r=5=s, k=7.
a(n)= (21*(7*6*5*4*3)^n - 12*(6*5*4*3*2)^n + (5*4*3*2*1)^n)/10.
G.f.: (1+1080*x)/product(1-fallfac(p, 5)*x, p=5..7), with fallfac(n, m) := A008279(n, m) (falling factorials).
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CROSSREFS
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Cf. A091553 (third column of array (4, 4)-Stirling2 divided by 72).
Sequence in context: A108008 A060363 A128194 this_sequence A166582 A043508 A114908
Adjacent sequences: A091736 A091737 A091738 this_sequence A091740 A091741 A091742
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Feb 13 2004
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