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A181427
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a(n) = n + [n^2 if n is odd or n^3 if n is even].
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1
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2, 10, 12, 68, 30, 222, 56, 520, 90, 1010, 132, 1740, 182, 2758, 240, 4112, 306, 5850, 380, 8020, 462, 10670, 552, 13848, 650, 17602, 756, 21980, 870, 27030, 992, 32800, 1122, 39338, 1260, 46692, 1406, 54910, 1560, 64040, 1722, 74130, 1892, 85228, 2070
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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a(n) = n + n^{2(n mod 2)+3(1-(n mod 2)}.
a(n) = n + n^((5+(-1)^n)/2) = n*(1+A065679(n)).
G.f.: 2*x*(1+5*x+2x^2+14*x^3-3*x^4+5*x^5)/(1-x^2)^4.
a(n)-4*a(n-2)+6*a(n-4)-4*a(n-6)+a(n-8) = 0 for n>8.
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EXAMPLE
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For n=5, 5+5^2=30 and n=6 6+6^3=222.
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MATHEMATICA
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If[OddQ[ # ], #+#^2, #+#^3]&/@Range[50] (* Harvey P. Dale, Nov 03 2010 *)
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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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Dinesh Panchamia (dgpanchamia(AT)gmail.com), Oct 19 2010
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EXTENSIONS
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STATUS
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approved
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