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A167582 The third left hand column of triangle A167580. 5
3, 98, 1080, 7568, 40976, 187488, 761600, 2830848, 9821952, 32254464, 101263360, 306229248, 897175552, 2558058496, 7123894272, 19434569728, 52063567872, 137236709376, 356550967296, 914355126272, 2317328842752 (list; graph; refs; listen; history; text; internal format)
OFFSET
3,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (12, -60, 160, -240, 192, -64).
FORMULA
a(n) = 2^n*(14*n^5 - 95*n^4 + 240*n^3 - 280*n^2 + 151*n - 30)/240.
GF(z) = (8*z^3 + 84*z^2 + 62*z + 3)/(1-2*z)^6.
a(n) = 12*a(n-1) - 60*a(n-2) + 160*a(n-3) - 240*a(n-4) + 192*a(n-5) - 64*a(n-6).
a(n)-11*a(n-1)+50*a(n-2)-120*a(n-3)+160*a(n-4)-112*a(n-5)+32*a(n-6) = 7*2^(n-1).
MATHEMATICA
LinearRecurrence[{12, -60, 160, -240, 192, -64}, {3, 98, 1080, 7568, 40976, 187488}, 100] (* G. C. Greubel, Jun 16 2016 *)
CROSSREFS
Equals the third left hand column of triangle A167580.
Other left hand columns are A014480, A167581, A168305 and A168306.
Sequence in context: A246537 A057014 A334723 * A068420 A276188 A180350
KEYWORD
easy,nonn
AUTHOR
Johannes W. Meijer, Nov 10 2009
EXTENSIONS
Formulae and links added by Johannes W. Meijer, Nov 23 2009
STATUS
approved

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Last modified March 5 10:13 EST 2024. Contains 370548 sequences. (Running on oeis4.)