A124366 Consecutive numbers n and (n+1) that raised to the same exponent m produce two numbers for which the sum of their digits gives n and (n+1).

1, 2, 3, 4, 5, 6, 7, 8, 9, 17, 18, 35, 36, 103, 104, 106, 107, 108, 134, 135, 256, 257, 295, 296, 298, 299, 306, 307, 386, 387, 421, 422, 468, 469, 575, 576, 792, 793, 865, 866, 962, 963, 1008, 1009, 1061, 1062, 1476, 1477, 1495, 1496, 2032, 2033, 2376, 2377

Offset

1,2

Links

Table of n, a(n) for n=1..54.

Example

17^3=4913 (4+9+1+3=17) and 18^3=5832 (5+8+3+2=18)
306^26= 42536043213832457558766474492498614961439017908885402928656941056
(sum of the digits equal to 306) and
307^26= 46301788027092145989912680349353041288862842956233592928809850249
(sum of the digits equal to 307)

Crossrefs

Cf. A124359, A124360, A124361, A124362, A046019, A124364, A124365.

Sequence in context: A326298 A372281 A124359 * A289868 A304247 A304245

Adjacent sequences: A124363 A124364 A124365 * A124367 A124368 A124369

Keyword

nonn,base

Author

Paolo P. Lava and Giorgio Balzarotti, Oct 30 2006

Status

approved