A048682 a(n) is the difference between maximal and central squarefree kernel numbers dividing values of {binomial(n,k)} or A001405(n), respectively.

0, 0, 0, 0, 0, 5, 0, 0, 0, 168, 0, 0, 0, 2145, 2860, 0, 0, 0, 0, 33592, 117572, 470288, 0, 0, 297160, 4791705, 2674440, 12900240, 28134060, 10835415, 0, 0, 0, 2074316640, 0, 0, 2524661700, 31810737420, 39384722520, 0, 0, 0, 82334307276, 1235014609140

Offset

1,6

Links

Table of n, a(n) for n=1..44.

Example

n=10: the squarefree kernels are {1, 10, 15, 30, 210, 42, 210, 30, 15, 10, 1}. The maximal value is 210 and the central one is 42. Thus a(10) = 210 - 42 = 168.

Crossrefs

Analogous cases for A001222, A000005 as applied to {binomial(n, k)} are given in A048623, A020740.

Sequence in context: A079074 A294393 A047754 * A186716 A331039 A171915

Adjacent sequences: A048679 A048680 A048681 * A048683 A048684 A048685

Keyword

nonn

Author

Labos Elemer

Status

approved