

A115783


Numbers n such that n can be represented in the form (m+1)^k  m^k at least in two ways.


1



0, 1, 7, 15, 19, 31, 37, 61, 63, 65, 91, 127, 169, 175, 211, 217, 255, 271, 331, 369, 397, 469, 511, 547, 631, 665, 671, 721, 781, 817, 919, 1023, 1027, 1105, 1141, 1261, 1387, 1519, 1657, 1695, 1801, 1951, 2047, 2059, 2101, 2107, 2269, 2437, 2465, 2611, 2791
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OFFSET

1,3


COMMENTS

It is easy to see that all the members of A003215 also belong to this sequence (thus infinite), since they can be represented as (p+1)^2  p^2 and as (q+1)^3  q^3.  Giovanni Resta, Feb 15 2006


LINKS

Table of n, a(n) for n=1..51.


MATHEMATICA

t = {}; Do[a = (m + 1)^k  m^k; If[a < 3000, AppendTo[t, a]], {m, 3000}, {k, 23}]; t = Split@ Sort@ t; Union@ Flatten@ t[[Select[ Range@1500, Length@t[[ # ]] > 1 &]]] (* Robert G. Wilson v *)


CROSSREFS

Sequence in context: A138641 A297853 A298050 * A140109 A064397 A214467
Adjacent sequences: A115780 A115781 A115782 * A115784 A115785 A115786


KEYWORD

nonn


AUTHOR

Zak Seidov, Jan 30 2006


EXTENSIONS

Corrected and extended by Robert G. Wilson v, Feb 08 2006
Corrected and extended by Giovanni Resta, Feb 15 2006


STATUS

approved



