

A351897


Numbers that in factorialbase representation have digits with an alternating parity.


1



0, 1, 2, 5, 7, 11, 14, 19, 23, 26, 38, 55, 59, 67, 71, 74, 86, 103, 107, 115, 119, 127, 131, 139, 143, 175, 179, 187, 191, 223, 227, 235, 239, 266, 278, 314, 326, 367, 371, 379, 383, 415, 419, 427, 431, 463, 467, 475, 479, 506, 518, 554, 566, 607, 611, 619, 623
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OFFSET

1,3


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..20477 (terms below 10!)


EXAMPLE

7 is a term since its factorialbase representation is 101 and the parities of its digits are odd, even, odd.


MATHEMATICA

max = 7; q[n_] := AllTrue[Differences@ Mod[IntegerDigits[n, MixedRadix[Range[max, 2, 1]]], 2], # != 0 &]; Select[Range[0, 1000], q]


CROSSREFS

Cf. A007623.
Similar sequences: A000975 (binary), A030141 (decimal), A033068 (ternary), A179970 (quaternary).
Subsequences: A033312, A138524, A341900.
Sequence in context: A327952 A099835 A133436 * A184676 A191175 A191125
Adjacent sequences: A351894 A351895 A351896 * A351898 A351899 A351900


KEYWORD

nonn,base


AUTHOR

Amiram Eldar, Feb 24 2022


STATUS

approved



