A100149 Structured small rhombicubeoctahedral numbers.
1, 24, 106, 284, 595, 1076, 1764, 2696, 3909, 5440, 7326, 9604, 12311, 15484, 19160, 23376, 28169, 33576, 39634, 46380, 53851, 62084, 71116, 80984, 91725, 103376, 115974, 129556, 144159, 159820, 176576, 194464, 213521, 233784, 255290, 278076, 302179, 327636
Offset: 1
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..5000
- Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).
Crossrefs
Programs
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Magma
[(1/6)*(37*n^3-45*n^2+14*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011
Formula
a(n) = (1/6)*(37*n^3 - 45*n^2 + 14*n).
G.f.: x*(1 + 20*x + 16*x^2)/(1-x)^4. - Colin Barker, Jan 19 2012
From Elmo R. Oliveira, Aug 05 2025: (Start)
E.g.f.: exp(x)*x*(37*x^2 + 66*x + 6)/6.
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n > 4. (End)