cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A048683 Values of n for which the difference of maximal and central squarefree kernel numbers dividing values of {C(n,k)} or A001405(n) is zero.

Original entry on oeis.org

1, 2, 3, 4, 5, 7, 8, 9, 11, 12, 13, 16, 17, 18, 19, 23, 24, 31, 32, 33, 35, 36, 40, 41, 42, 55, 56, 57, 59, 65, 71, 72, 73, 80, 84, 100, 108, 109, 112, 113, 114, 115, 131, 132, 133, 155, 160, 161, 162, 163, 168, 183, 184, 199, 200, 201, 203, 209, 220, 224, 256
Offset: 1

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Comments

Indices of 0's in A048682. - Sean A. Irvine, Jun 26 2021

Examples

			For n=23 both the maximal and central largest-squarefree number dividing the corresponding {C(23,k)} values is 1352078=2*7*13*17*19*23=C(23,12) accidentally. The same 1352078 is the maximal-largest squarefree divisor for C(24,k) values but 1352078=C(24,12)/2. Thus both 23 and 24 are in this sequence.
		

Crossrefs

Analogous cases for A001221, A001222 functions as applied to {C(n, k)} are given in A020731 and A048627.
Cf. A048682.

Formula

max{sqf kernel(C(n, k)} - sqf kernel(C(n, [ n/2 ])) = 0

Extensions

More terms from Sean A. Irvine, Jun 26 2021
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