A306108 Numbers with digits in {0,...,5} such that every other digit is strictly less than its neighbors.

0, 1, 2, 3, 4, 5, 10, 20, 21, 30, 31, 32, 40, 41, 42, 43, 50, 51, 52, 53, 54, 101, 102, 103, 104, 105, 201, 202, 203, 204, 205, 212, 213, 214, 215, 301, 302, 303, 304, 305, 312, 313, 314, 315, 323, 324, 325, 401, 402, 403, 404, 405, 412, 413, 414, 415, 423, 424, 425, 434, 435, 501, 502, 503, 504, 505, 512, 513, 514

Offset

1,3

Comments

Terms of A032861 written in base 6.

Links

Table of n, a(n) for n=1..69.

Formula

a(n) = A007092(A032861(n)).

Prog

(PARI) A(Nmax=100, K=5, 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<k\10, k%10|| i=concat(i, 1+#A))&& A=concat(A, c(k*10^n, A[i[K*n+k%10+1]..i[K*n+K+1]-1])); #A<Nmax||return(A)))}

Crossrefs

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

Cf. A032862 and A032858 .. A032865 for other bases 3..10.

Sequence in context: A369592 A033077 A190912 * A282033 A111665 A111666

Adjacent sequences: A306105 A306106 A306107 * A306109 A306110 A306111

Keyword

nonn,base

Author

M. F. Hasler, Oct 05 2018

Status

approved