A262512 Sequence gives the unique x for each term of A262511 which contains those numbers n that have exactly one solution to x - d(x) = n, where d(n) is the number of divisors of n (A000005).

6, 5, 8, 7, 11, 14, 18, 20, 17, 24, 22, 23, 27, 32, 34, 35, 40, 43, 46, 50, 47, 51, 57, 58, 61, 72, 65, 73, 84, 77, 81, 79, 88, 86, 87, 96, 92, 93, 94, 98, 99, 102, 97, 105, 101, 103, 120, 107, 114, 116, 119, 123, 125, 130, 135, 137, 143, 154, 160, 151, 155, 158, 164, 163, 175, 173, 177, 184, 179, 187, 198, 200, 191, 194, 193, 204, 210, 197, 203, 216, 206, 209, 212

Offset: 1

Author

Antti Karttunen, Sep 25 2015

Keywords

• nonn

Comments

Sequence is sorted by the magnitude of terms in A262511. Cf. also A262513.

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000005, A049820, A082284, A262511, A262686.

Cf. A262513 (same sequence sorted into ascending order).

Programs

Scheme

(define (A262512 n) (let ((s (A262511 n))) (let loop ((k s)) (if (= s (A049820 k)) k (loop (+ 1 k))))))

Formula

a(n) = the least (and the only) such number k > A262511(n) that A049820(k) = A262511(n).

a(n) = A082284(A262511(n)).

a(n) = A262686(A262511(n)).