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1, 5, 17, 45, 100, 196, 350, 582, 915, 1375, 1991, 2795, 3822, 5110, 6700, 8636, 10965, 13737, 17005, 20825, 25256, 30360, 36202, 42850, 50375, 58851, 68355, 78967, 90770, 103850, 118296, 134200, 151657, 170765, 191625, 214341, 239020, 265772
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OFFSET
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0,2
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COMMENTS
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Prime for a(1) = 5, a(2) = 17, then never again?
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LINKS
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FORMULA
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a(n) = Sum_{i=0..n} (i+1)*(i^2+i+2)/2.
a(n) = ((n^4+2*n^3+n^2)/4+(2*n^3+3*n^2+n)/3+(3*n^2+3*n)/2+2*n)/2+1.
a(n) = 5*a(n-1)-10*a(n-2)+10*a(n-3)-5*a(n-4)+a(n-5). - Wesley Ivan Hurt, Apr 21 2024
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MATHEMATICA
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LinearRecurrence[{5, -10, 10, -5, 1}, {1, 5, 17, 45, 100}, 40] (* Harvey P. Dale, Sep 15 2022 *)
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CROSSREFS
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KEYWORD
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easy,nonn,changed
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AUTHOR
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STATUS
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approved
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