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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. 0

%I #10 Jun 26 2021 20:31:09

%S 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,

%T 55,56,57,59,65,71,72,73,80,84,100,108,109,112,113,114,115,131,132,

%U 133,155,160,161,162,163,168,183,184,199,200,201,203,209,220,224,256

%N 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.

%C Indices of 0's in A048682. - _Sean A. Irvine_, Jun 26 2021

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

%e 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.

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

%Y Cf. A048682.

%K nonn

%O 1,2

%A _Labos Elemer_

%E More terms from _Sean A. Irvine_, Jun 26 2021

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)