login
Nonnegative numbers with palindromic canonical snowball representation.
1

%I #13 Jul 17 2026 09:19:34

%S 0,1,3,7,9,11,13,25,27,41,43,49,57,81,97,105,111,127,131,157,161,191,

%T 193,219,243,259,345,379,385,395,411,435,469,495,499,511,601,641,729,

%U 769,803,867,935,949,963,981,1015,1029,1135,1187,1257,1335,1405,1537

%N Nonnegative numbers with palindromic canonical snowball representation.

%C See A397794 for the definition of the canonical snowball representation of a number.

%H Rémy Sigrist, <a href="/A397093/b397093.txt">Table of n, a(n) for n = 1..10000</a>

%H Rémy Sigrist, <a href="/A397093/a397093.gp.txt">PARI program</a>

%e The first terms, alongside their canonical snowball representation, are:

%e n a(n) snowball(a(n))

%e -- ---- --------------

%e 1 0

%e 2 1 1

%e 3 3 11

%e 4 7 101

%e 5 9 111

%e 6 11 121

%e 7 13 1001

%e 8 25 10001

%e 9 27 1111

%e 10 41 1221

%e 11 43 10101

%e 12 49 100001

%e 13 57 11011

%e 14 81 11111

%e 15 97 1000001

%o (PARI) \\ See Links section.

%Y Cf. A046807, A397794.

%K nonn,base,new

%O 1,3

%A _Rémy Sigrist_, Jul 14 2026