[seqfan] Pascal triangle & digital root's

Eric Angelini Eric.Angelini at kntv.be
Sat Jul 6 12:49:02 CEST 2013


Hello 

A000984 is the "Central binomial coefficients":
1, 2, 6, 20, 70, 252, 924, 3432, 12870, 48620, 184756, 705432, 2704156, 10400600, 40116600, 155117520, 601080390, 2333606220, 9075135300, 35345263800, 137846528820,...

I was wondering: if we do the digital root of the above terms, do we see a pattern at some stage?
Computing the height of Pascal's triangle in digital root's term, I get:

S=1,2,6,2,7,9,6,3,9,2,4,3,7,2,9,9,9,9,6,3,9,3,6,9,9,9,...

... which is not in the OEIS, and which doesn't show (yet?) any regularity...

Best,
É.





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