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A167567
The fourth left hand column of triangle A167565.
4
0, 14, 124, 601, 2120, 6096, 15168, 33858, 69432, 132990, 240812, 415987, 690352, 1106768, 1721760, 2608548, 3860496, 5595006, 7957884, 11128205, 15323704, 20806720, 27890720, 36947430, 48414600, 62804430, 80712684
OFFSET
4,2
FORMULA
a(n) = (27*n^7 - 287*n^6 + 1113*n^5 - 1925*n^4 + 1428*n^3 - 308*n^2 - 48*n)/7!.
G.f.: (1*z^3 + 12*z^2 + 14*z + 0)/(1-z)^8.
a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8).
a(n) - 7*a(n-1) + 21*a(n-2) - 35*a(n-3) + 35*a(n-4) - 21*a(n-5) + 7*a(n-6) - a(n-7) = 27.
MATHEMATICA
LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 14, 124, 601,
2120, 6096, 15168, 33858}, 100] (* G. C. Greubel, Jun 16 2016 *)
CROSSREFS
Equals the fourth left hand column of triangle A167565.
Other left hand columns are A000027, A000292, A167566 and A168304.
Sequence in context: A370966 A235710 A239544 * A188411 A125377 A147590
KEYWORD
easy,nonn
AUTHOR
Johannes W. Meijer, Nov 10 2009
EXTENSIONS
Formulae and links added by Johannes W. Meijer, Nov 23 2009
STATUS
approved