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A284375
Numbers whose product of digits is a power of 0.
5
0, 1, 10, 11, 20, 30, 40, 50, 60, 70, 80, 90, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 120, 130, 140, 150, 160, 170, 180, 190, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 301, 302, 303
OFFSET
1,3
COMMENTS
Union A011540 and A002275. Supersequence of A007088.
EXAMPLE
111 is in the sequence because 1*1*1 = 1 = 0^0.
MATHEMATICA
Select[Range[0, 500], Times@@ IntegerDigits[#] <2 &] (* Indranil Ghosh, Mar 26 2017 *)
PROG
(Magma) Set(Sort([n: n in [1..10000], k in [0..20] | &*Intseq(n) eq 0^k]))
CROSSREFS
Cf. Numbers n such that product of digits of n is a power of k for k = 0 - 9: this sequence (k = 0), A002275 (k = 1), A028846 (k = 2), A174813 (k = 3), A284323 (k = 4), A276037 (k = 5), A276038 (k = 6), A276039 (k = 7), A284324 (k = 8), A284295 (k = 9), A328560 (k = 10).
Sequence in context: A109839 A280149 A087486 * A102626 A306960 A178361
KEYWORD
nonn,base
AUTHOR
Jaroslav Krizek, Mar 26 2017
STATUS
approved