A074484 -id:A074484 - cp's OEIS frontend

A074482 Consider the recursion b(1,n) = 1, b(k+1,n) = b(k,n) + (b(k,n) reduced mod(k+n)); then there is a number x such that b(k,n) - b(k-1,n) is a constant x depending only on n, for k > y = A074483(n). Sequence gives values of x.

97, 97, 97, 1, 3, 3, 6, 6, 8, 4, 1, 8, 8, 3, 2, 5, 17143, 5, 3, 4, 5, 316, 22, 41, 28, 1, 41, 41, 3, 74, 39, 5, 316, 37, 37, 37, 12178, 12178, 67382, 67382, 73191, 52, 25, 51, 50, 67382, 6001, 25, 6001, 51, 22, 17, 2, 5, 23, 50, 1, 50, 50, 14, 50, 492, 20, 50, 20, 52, 17, 17143

Offset: 0

Reinhard Zumkeller and Benoit Cloitre, Aug 23 2002

nonn

Conjecture: a(n) is defined for all n (as well as A074483);
A074484(n) = a(n)*(A074483(n)+ n + 1);
b(k, n) = a(n)*(k + n + 1) for k > A074483(n).

			a(0) = A073117(A074483(0)) mod A074483(0) = A073117(397) mod 397 = 38606 mod 397 = 97.

David W. Wilson, Table of n, a(n) for n = 0..10000

Cf. A073117.

A074483 Consider the recursion b(1,n) = 1, b(k+1,n) = b(k,n) + (b(k,n) reduced mod(k+n)); then there is a number y such that b(k,n)-b(k-1,n) is a constant (= A074482(n)) for k > y. Sequence gives values of y.

Original entry on oeis.org

397, 396, 395, 4, 11, 10, 25, 24, 29, 14, 5, 26, 25, 10, 7, 16, 68265, 14, 13, 12, 17, 1220, 67, 136, 93, 6, 133, 132, 9, 272, 129, 14, 1209, 126, 125, 124, 48605, 48604, 269393, 269392, 292695, 180, 77, 178, 177, 269386, 24017, 72, 24015, 172, 67, 44, 11, 16, 65

Offset: 0

Reinhard Zumkeller and Benoit Cloitre, Aug 23 2002

nonn

Conjecture: a(n) is defined for all n (as well as A074482);
A074484(n) = A074482(n)*(a(n)+ n + 1);
b(k, n) = A074482(n)*(k + n + 1) for k > a(n).

			A074482(0) = A073117(a(0)) mod a(0) = A073117(397) mod 397 = 38606 mod 397 = 97.

David W. Wilson, Table of n, a(n) for n = 0..10000

Cf. A073117.

cp's OEIS Frontend

A074482 Consider the recursion b(1,n) = 1, b(k+1,n) = b(k,n) + (b(k,n) reduced mod(k+n)); then there is a number x such that b(k,n) - b(k-1,n) is a constant x depending only on n, for k > y = A074483(n). Sequence gives values of x.

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