A239092 Prefix overlap of dictionary consisting of decimal expansions of 0 through n.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99, 100, 102, 104, 106, 108, 110

Offset: 1

Author

N. J. A. Sloane, Mar 22 2014

Keywords

• nonn
• base

Comments

The prefix overlap between two words is the length of their longest common prefix.

The prefix overlap of a dictionary is the sum of the prefix overlaps between successive words.

Partial sums of A076489.

More than the usual number of terms are displayed in order to distinguish this from some closely related sequences.

Links

• Rodica Simion and Herbert S. Wilf, The distribution of prefix overlap in consecutive dictionary entries, SIAM J. Algebraic Discrete Methods, 7(1986), no. 3, 470--475. MR0844051.

Crossrefs

Cf. A238845, A239091, A076489.

Different from A081600 and A028904.