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

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..18.

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: A218672 A253109 A167913 * A074181 A052513 A216839

Adjacent sequences:  A076941 A076942 A076943 * A076945 A076946 A076947

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Oct 19 2002

EXTENSIONS

Edited, corrected and extended by Robert G. Wilson v, Oct 21 2002

STATUS

approved

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Last modified July 31 06:15 EDT 2021. Contains 346369 sequences. (Running on oeis4.)