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Number parallelogram based on Pascal's triangle, read along diagonals.
0

%I #21 Mar 02 2021 06:02:10

%S 70,35,35,15,40,15,5,30,30,5,1,16,36,16,1,5,30,30,5,15,40,15,35,35,70

%N Number parallelogram based on Pascal's triangle, read along diagonals.

%e Terms are the following square, read by diagonals:

%e 70, 35, 15, 5, 1

%e 35, 40, 30, 16, 5

%e 15, 30, 36, 30, 15

%e 5, 16, 30, 40, 35

%e 1, 5, 15, 35, 70

%p with(combinat):T:=(n,i)->binomial(i,n)*binomial(8-i,4-n): for n from 0 to 4 do seq(T(n, i), i=0+n..8-4+n) od;

%Y Cf. A113899.

%K fini,full,nonn,less

%O 0,1

%A _Zerinvary Lajos_, May 28 2007

%E Edited slightly by _Charles R Greathouse IV_, Oct 28 2009