A372352 The difference between n and the largest term of A086893 <= n.

0, 1, 0, 1, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 0, 1, 2, 3, 4, 5, 6

Offset: 1

Author

Antti Karttunen (proposed by Ali Sada), Apr 29 2024

Keywords

• nonn
• easy

Comments

The terms a(n) grow from 0 (whenever n is in A086893) by 1 until the next element of A086893 is reached. - M. F. Hasler, May 08 2025

Crossrefs

Cf. A086893, A096773, A372353.

Cf. also A372286.

Programs

PARI

A086893(n) = (if(n%2, 2^(n+1), 2^(n+1)+2^(n-1))\3); \\ From A086893
A372352(n) = { my(k); for(i=1,oo,k=A086893(i); if(k>n, return(n-A086893(i-1)))); };

Formula

a(n) = n - max ( A086893 intersect [1..n] ) (= 0 iff n in A086893). - M. F. Hasler, May 08 2025