A327007 -id:A327007 - cp's OEIS frontend

A327009 Indices of records in A327007.

1, 2, 3, 8, 24, 48, 120, 360, 1088, 3135, 9999, 31328, 103040, 342224, 1151328, 3920399, 13571855, 47416995, 166642280, 590733024, 2105524995, 7553695743, 27244473480, 98709700760, 359212031648, 1312529961648

Offset: 1

Max Alekseyev, Aug 12 2019

nonn

a(n) = smallest m such that A327007(m) = n-1.

Cf. A000196, A327007, A327008, A327010.

For n >= 6, a(n) = A327010(n-1)^2 - 1.

A327008 a(n) = number of iterations of f(x)=floor((x^2+n^2)/(2x)) starting at x=n^2 to reach the value n.

Original entry on oeis.org

0, 1, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9

Offset: 1

Max Alekseyev, Aug 12 2019

nonn

Cf. A000196, A327007, A327009, A327010.

a(n) = A327007(n^2).

A327010 Indices of records in A327008.

Original entry on oeis.org

1, 2, 3, 4, 7, 11, 19, 33, 56, 100, 177, 321, 585, 1073, 1980, 3684, 6886, 12909, 24305, 45886, 86912, 165059, 314181, 599343, 1145657, 2193951, 4208697, 8086122, 15558747, 29977903, 57833191, 111705481, 216002074, 418115774

Offset: 1

Max Alekseyev, Aug 12 2019

nonn

a(n) = smallest m such that A327008(m) = n-1.

Cf. A000196, A327007, A327008, A327009.

For n >= 5, a(n) = sqrt(A327009(n+1)+1).

cp's OEIS Frontend

A327009 Indices of records in A327007.

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A327008 a(n) = number of iterations of f(x)=floor((x^2+n^2)/(2x)) starting at x=n^2 to reach the value n.

Views

Author

Keywords

Crossrefs

Formula

A327010 Indices of records in A327008.

Views

Author

Keywords

Comments

Crossrefs

Formula