A191322 Number of bases in which both n and the reversal of n are 3-digit numbers.

0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 3, 2, 2, 2, 0, 0, 1, 2, 3, 3, 2, 2, 2, 3, 0, 1, 2, 2, 3, 4, 2, 3, 3, 3, 0, 1, 2, 3, 2, 2, 4, 4, 4, 4, 0, 0, 1, 2, 2, 1, 4, 4, 4, 4, 0, 0, 1

Offset

1,22

Links

Table of n, a(n) for n=1..82.

Formula

a(n) = a(inv(n)).

a(A002113(n)) = A191291(A002113(n)).

a(n) <= min(A191291(n),A191291(inv(n))).

Example

a(36)=3 since 36 is 3-digit number in bases 4,5,6 and 63 is 3-digit number in bases 4,5,6,7 such that we have 3 common bases.

Crossrefs

Cf. A002113, A191291.

Sequence in context: A126207 A276711 A351451 * A264840 A308188 A046219

Adjacent sequences: A191319 A191320 A191321 * A191323 A191324 A191325

Keyword

nonn,base

Author

Vladimir Shevelev, May 30 2011

Status

approved