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A155499
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a(n) = n + (n+1)^(n+2).
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3
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1, 9, 83, 1027, 15629, 279941, 5764807, 134217735, 3486784409, 100000000009, 3138428376731, 106993205379083, 3937376385699301, 155568095557812237, 6568408355712890639, 295147905179352825871
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OFFSET
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0,2
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COMMENTS
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All the terms are evidently odd. If n is even, a(n) is (n+1) mod 8; if n is odd, a(n) is n mod 8.
Thus the sequence of remainders by dividing a(n) by 8 is given by 1, 1, 3, 3, 5, 5, 7, 7, 1, 1...
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LINKS
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EXAMPLE
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If n=2, a(2)=2+3^4=83.
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MATHEMATICA
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Table[n +(n+1)^(n+2), {n, 20}] (* or *) #[[1]]+#[[2]]^#[[3]]&/@ Partition[ Range[20], 3, 1] (* Harvey P. Dale, Mar 14 2012 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Avik Roy (avik_3.1416(AT)yahoo.co.in), Jan 23 2009
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EXTENSIONS
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STATUS
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approved
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