A306106 Numbers with digits in {0,1,2,3} such that every other digit is strictly less than its neighbors.

0, 1, 2, 3, 10, 20, 21, 30, 31, 32, 101, 102, 103, 201, 202, 203, 212, 213, 301, 302, 303, 312, 313, 323, 1010, 1020, 1021, 1030, 1031, 1032, 2010, 2020, 2021, 2030, 2031, 2032, 2120, 2121, 2130, 2131, 2132, 3010, 3020, 3021, 3030, 3031, 3032, 3120, 3121, 3130, 3131, 3132, 3230, 3231, 3232, 10101, 10102, 10103

Offset: 1

Author

M. F. Hasler, Oct 05 2018

Keywords

• nonn
• base

Comments

Terms of A032859 written in base 4.

Crossrefs

Cf. A306105 .. A306111 and A297147: analog for bases 3..9 and 10.

Cf. A032859 and A032858 .. A032865 for other bases 3..10.

Programs

PARI

A(Nmax=100, K=3, A=[0..K], i=vector(2*K, i, max(1, i-K+1)), c(T, v)=apply(t->t+T, v))={for(n=0, oo, for(k=10, K*11, if(k%10
				

Formula

a(n) = A007090(A032859(n)).

Terms in A297147 having only digits < 4; intersection of A297147 and A007090.