A372064 -id:A372064 - cp's OEIS frontend

A372063 a(n) = A280864(n) - A280866(n).

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, -23, 8, 11, 38, -3, -23, 11, -18, 9, 29, 17, -37, 14, -19, 22, -31, 4, 17, -11, -25, -17, 17, -51, 16, -39, 42, -29, 22, 7, 28, 2, 11, -6, -15, 1, -24, 5, 17, -18, 1, 9, -26, 25, 0, 0, 2, 25, -41, 59, -22, -11, -8, 41, 37, -3, 38, -12

Offset: 1

N. J. A. Sloane, May 09 2024

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A280864 and A280866 are closely related. There is a proof that A280866 is a permutation of the positive integers, but for A280864 this is only a conjecture. The present sequence compares them term-by-term; A372064 compares their inverses; and A372065 compares where the primes appear.

N. J. A. Sloane, Table of n, a(n) for n = 1..10000

Cf. A280864, A280741, A280866, A304741, A372064, A372065.

A372065 a(n) = (index of prime(n) in A280864) - (index of prime(n) in A280866).

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 1, 5, 5, 5, 0, -1, -2, 3, 13, 12, 13, 12, 9, 6, 6, 11, 11, 24, 28, 38, 74, 70, 55, 49, 58, 60, 60, 54, 46, 51, 50, 43, 54, 51, 44, 36, 36, 21, 34, 45, 39, 25, 25, 22, 24, 24, 25, 42, 44, 27, 38, 33, 26, 28, 22, 24, 32, 56, 72, 84, 63, 67, 107, 114, 111, 104, 108, 105, 93, 100, 100, 108, 105, 96, 94, 92

Offset: 1

N. J. A. Sloane, May 10 2024

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A372063 compares A280864 and A280866 term-by-term; A372064 compares their inverses; and the present sequence compares where the successive primes appear.

This is a subsequence of A372064.

			The 11th prime, 31, appears in A280864 at index 49, and in A280866 at index 43, so a(11) = 49 - 43 = 6.

N. J. A. Sloane, Table of n, a(n) for n = 1..2262

Cf. A280864, A280741, A280866, A304741, A372063, A372064.

cp's OEIS Frontend

A372063 a(n) = A280864(n) - A280866(n).

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