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 A115783 Numbers that can be represented in the form (m+1)^k - m^k in at least 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS It is easy to see that all the terms 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, Feb 08 2006 *) 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

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Last modified December 5 23:11 EST 2023. Contains 367594 sequences. (Running on oeis4.)