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Search: id:A076944
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A076944 Least number such that n*k+1 is an n-th power. +0
3
2, 9, 64, 81, 7776, 15625, 2097152, 6561, 262144, 3486784401, 743008370688, 244140625, 793714773254144, 3937376385699289, 1152921504606846976, 43046721, 2185911559738696531968, 3814697265625 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n) <= {(n+1)^n - 1}/n.

FORMULA

a(n) = n*A076943(n) + 1.

MATHEMATICA

Do[k = 2; While[ !IntegerQ[(k^n - 1)/n], k++ ]; Print[k^n], {n, 1, 19}]

CROSSREFS

Cf. A076942, A076943, A074792.

Sequence in context: A003577 A085928 A130169 this_sequence A074181 A052513 A024720

Adjacent sequences: A076941 A076942 A076943 this_sequence A076945 A076946 A076947

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Oct 19 2002

EXTENSIONS

Edited, corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 21 2002

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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