A064544 Biquanimous numbers (or biquams): group the digits into two pieces (not necessarily equal or in order) with the same sum.

0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 110, 112, 121, 123, 132, 134, 143, 145, 154, 156, 165, 167, 176, 178, 187, 189, 198, 202, 211, 213, 220, 224, 231, 235, 242, 246, 253, 257, 264, 268, 275, 279, 286, 297, 303, 312, 314, 321, 325, 330, 336, 341, 347, 352, 358

Offset

0,2

Comments

This sequence is 10-automatic (decimal expansions form a regular language accepted by a finite automaton).

Links

Rémy Sigrist, Table of n, a(n) for n = 0..10000

Index entries for 10-automatic sequences.

Example

143 is in the sequence because its digits {1, 4, 3} may be grouped so that 1+3 = 4.

Prog

(PARI) is(n) = { my (d=digits(n), s=[0]); for (k=1, #d, s=setunion(apply(v -> v+d[k], s), apply(v -> v-d[k], s))); setsearch(s, 0)>0 } \\ Rémy Sigrist, Jan 23 2021

Crossrefs

Cf. A064671, A064686 (number of n-digit base-3 biquams), A065023, A065024, A065025.

Sequence in context: A078273 A345391 A065571 * A083967 A343444 A193772

Adjacent sequences: A064541 A064542 A064543 * A064545 A064546 A064547

Keyword

base,easy,nonn

Author

David W. Wilson, Oct 09 2001

Status

approved