A332585 Number of digits in the number formed by concatenating the digits of n, n+1, ..., A332584(n), or -1 if A332584(n) = -1.

2, 154, 6443, 26258, 2, 86, 25, 4, 4165, 38, 505, 42, 108, 319, 2906, 90, 445, 636086, 711, 54, 245, 22, 12, 126, 32, 154843, 20, 30, 883, 2057, 4970, 577, 76, 70, 139, 749, 40, 89959, 380407, 42715, 805, 8548, 2031, 35070377257253, 8, 2049, 32210, 1001, 44, 253, 8002, 95691

Offset

1,1

Comments

a(44) is currently unknown.

Links

Table of n, a(n) for n=1..52.

J. S. Myers, R. Schroeppel, S. R. Shannon, N. J. A. Sloane, and P. Zimmermann, Three Cousins of Recaman's Sequence, arXiv:2004:14000 [math.NT], 2020-2021.

Formula

Let f(i) = A058183(i). Assuming A332584(n)>0, a(n) = f(A332584(n))-f(n-1) for n>1. - N. J. A. Sloane, Feb 20 2020

Example

For n=2, A332584(2) = 88, and the concatenation 2 || 3 || ... || 82 is
  23456789101112131415161718192021222324252627282930313233343536373839\
  40414243444546474849505152535455565758596061626364656667686970717273747\
  576777879808182, which has 154 digits. So a(2) = 154.

Crossrefs

Cf. A332580, A332584.

Sequence in context: A012605 A012602 A157087 * A000725 A151614 A103042

Adjacent sequences: A332582 A332583 A332584 * A332586 A332587 A332588

Keyword

nonn,base

Author

Scott R. Shannon and N. J. A. Sloane, Feb 17 2020

Extensions

a(44) onward from Michael S. Branicky, Dec 16 2025 using A332584

Status

approved