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A090393
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Eighth diagonal (m=7) of triangle A084938; a(n) = A084938(n+7,n) = (n^7 + 63*n^6 + 1855*n^5 + 34125*n^4 + 438424*n^3 + 3980172*n^2 + 20946960*n)/5040.
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2
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0, 5040, 12288, 22572, 36992, 56990, 84432, 121703, 171816, 238536, 326520, 441474, 590328, 781430, 1024760, 1332165, 1717616, 2197488, 2790864, 3519864, 4410000, 5490558, 6795008, 8361443, 10233048, 12458600, 15093000, 18197838
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OFFSET
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0,2
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LINKS
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FORMULA
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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) for n > 7.
G.f.: x*(3447*x^6 - 21824*x^5 + 57742*x^4 - 81760*x^3 + 65388*x^2 - 28032*x + 5040)/(x - 1)^8. (End)
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PROG
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(Python)
A090393_list, m = [], [1, 6, 25, 92, 327, 1142, 3447, 0]
for _ in range(1001):
print(m[-1])
for i in range(7):
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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