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A167471
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Janet periodic table of the elements and structured hexagonal diamond numbers. a(n) = A166911(2n) + A166911(2n+1).
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2
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16, 128, 464, 1152, 2320, 4096, 6608, 9984, 14352, 19840, 26576, 34688, 44304, 55552, 68560, 83456, 100368, 119424, 140752, 164480, 190736, 219648, 251344, 285952, 323600, 364416, 408528, 456064, 507152, 561920, 620496, 683008, 749584
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OFFSET
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1,1
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COMMENTS
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(A166911=3,13,39,89,171,293,). 5 formulas for a(n):fifth is a(n)=4a(n-1)-6a(n-2)+4a(n-3)-a(n-4), a(0)=16,a(1)=128,a(2)=464,a(3)=1152. See A166464 and its companion A166911 (offset 0). Note, for a(n) mod 10, period 5:repeat 6,8,4,2,0. Mathematically, a(n) (then A100178=1,8,29,72,145,) can be preceded by 0.
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LINKS
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FORMULA
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a(n) = 16*n*(2-3*n+4*n^2)/3 = 16*(2*n-3*n^2+4*n^3)/3 = 16*A100178(n).
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MATHEMATICA
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Table[16*n*(2 - 3*n + 4*n^2)/3, {n, 1, 50}] (* G. C. Greubel, Jun 13 2016 *)
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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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