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A011939
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[ n(n-1)(n-2)(n-3)/29 ].
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0
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0, 0, 0, 0, 0, 4, 12, 28, 57, 104, 173, 273, 409, 591, 828, 1129, 1506, 1969, 2532, 3207, 4009, 4953, 6053, 7328, 8793, 10468, 12372, 14524, 16944, 19656, 22680, 26040, 29760, 33864, 38380, 43332, 48748
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OFFSET
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0,6
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (4, -6, 4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -4, 6, -4, 1).
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FORMULA
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a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) + a(n-29) - 4*a(n-30) + 6*a(n-31) - 4*a(n-32) + a(n-33) for n > 32.
G.f.: x^5*(-4*x^26 + 4*x^25 - 4*x^24 - x^23 + x^21 - 5*x^20 + 4*x^19 - 5*x^18 + x^17 - 3*x^15 + 2*x^14 - 4*x^13 + 2*x^12 - 3*x^11 + x^9 - 5*x^8 + 4*x^7 - 5*x^6 + x^5 - x^3 - 4*x^2 + 4*x - 4)/(x^33 - 4*x^32 + 6*x^31 - 4*x^30 + x^29 - x^4 + 4*x^3 - 6*x^2 + 4*x - 1). (End)
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MATHEMATICA
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Table[Floor[Times@@(n-Range[0, 3])/29], {n, 0, 50}] (* or *) LinearRecurrence[{4, -6, 4, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -4, 6, -4, 1}, {0, 0, 0, 0, 0, 4, 12, 28, 57, 104, 173, 273, 409, 591, 828, 1129, 1506, 1969, 2532, 3207, 4009, 4953, 6053, 7328, 8793, 10468, 12372, 14524, 16944, 19656, 22680, 26040, 29760}, 50] (* Harvey P. Dale, Jun 09 2024 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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