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A171550
Numbers n with property that decimal expansion of 2^n+3^n contains no pair of neighbor equal digits (probably finite).
1
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 17, 22, 23, 26, 27, 29, 45, 52, 73
OFFSET
0,3
EXAMPLE
2^73+3^73 = 67585198634826967968486182914745315.
MATHEMATICA
Reap[Do[id=IntegerDigits[2^m+3^m]; rm=Rest[id]-Most[id]; If[FreeQ[rm, 0], Sow[m]], {m, 0, 10000}]][[2, 1]]
Select[Range[0, 80], FreeQ[Differences[IntegerDigits[2^#+3^#]], 0]&] (* Harvey P. Dale, Dec 09 2021 *)
CROSSREFS
Cf. A050723 (2^n), A050724 (3^n), A171551 (3^n-2^n).
Sequence in context: A366944 A289351 A362038 * A062895 A085869 A068892
KEYWORD
base,fini,full,nonn
AUTHOR
Zak Seidov, Dec 11 2009
STATUS
approved