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A263070
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Number of lattice paths from {n}^10 to {0}^10 using steps that decrement one or more components by one.
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2
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1, 102247563, 1843200116875263613, 93777824804632275267836362863, 7581761490297442738124283591348762605121, 797656368265147949572521540584234236944835806750363, 99479717242433942914309980793245660313479486272546475327799069
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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) ~ sqrt(c) * d^n / (Pi*n)^(9/2), where d = 275651917450.670923828699577660562035773700532729... and c = 0.02031773288889520997973589484779079409621454... . - Vaclav Kotesovec, Mar 23 2016
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MATHEMATICA
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With[{k = 10}, Table[Sum[Sum[(-1)^i*Binomial[j, i]*Binomial[j - i, n]^k, {i, 0, j}], {j, 0, k*n}], {n, 0, 10}]] (* Vaclav Kotesovec, Mar 22 2016 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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