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A048682 a(n) is the difference between maximal and central squarefree kernel numbers dividing values of {binomial(n,k)} or A001405(n), respectively. 1

%I #9 May 13 2018 20:48:14

%S 0,0,0,0,0,5,0,0,0,168,0,0,0,2145,2860,0,0,0,0,33592,117572,470288,0,

%T 0,297160,4791705,2674440,12900240,28134060,10835415,0,0,0,2074316640,

%U 0,0,2524661700,31810737420,39384722520,0,0,0,82334307276,1235014609140

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

%e 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.

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

%K nonn

%O 1,6

%A _Labos Elemer_

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Last modified June 12 09:45 EDT 2024. Contains 373329 sequences. (Running on oeis4.)