A306110 Numbers with digits in {0,...,7} such that every other digit is strictly less than its neighbors.

0, 1, 2, 3, 4, 5, 6, 7, 10, 20, 21, 30, 31, 32, 40, 41, 42, 43, 50, 51, 52, 53, 54, 60, 61, 62, 63, 64, 65, 70, 71, 72, 73, 74, 75, 76, 101, 102, 103, 104, 105, 106, 107, 201, 202, 203, 204, 205, 206, 207, 212, 213, 214, 215, 216, 217, 301, 302, 303, 304, 305, 306, 307, 312, 313, 314, 315, 316, 317, 323, 324, 325

Offset

1,3

Comments

Terms of A032863 written in base 8.

Links

Table of n, a(n) for n=1..72.

Formula

a(n) = A007094(A032863(n)).

Prog

(PARI) A(Nmax=100, K=7, 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. A032863 and A032858 .. A032865 for other bases 3..10.

Sequence in context: A017845 A211698 A230016 * A092026 A084749 A277883

Adjacent sequences: A306107 A306108 A306109 * A306111 A306112 A306113

Keyword

nonn,base

Author

M. F. Hasler, Oct 05 2018

Status

approved