cp's OEIS Frontend

A234305 Irregular triangle read by rows. Theoretical distribution of electrons based on the Janet's sequence A167268.

%I A234305 #31 Jan 14 2014 13:04:16
%S A234305 1,2,2,1,2,2,2,2,1,2,2,2,2,2,3,2,2,4,2,2,5,2,2,6,2,2,6,1,2,2,6,2,2,2,
%T A234305 6,2,1,2,2,6,2,2,2,2,6,2,3,2,2,6,2,4,2,2,6,2,5,2,2,6,2,6,2,2,6,2,6,1,
%U A234305 2,2,6,2,6,2,2,2,6,2,6,2,1,2,2,6,2,6,2,2,2,2,6,2,6,2,3,2,2,6,2,6,2,4
%N A234305 Irregular triangle read by rows. Theoretical distribution of electrons based on the Janet's sequence A167268.
%C A234305 a(n) is not A173642, a compact Bohr-Stoner model (1924), modified by Charles Janet in 1930. The good distribution is A168208.
%C A234305 Only sequences N16(n) in A234398 are used:
%C A234305 N16(1)= 1 followed by 2's              = A040000,
%C A234305 N16(2)= 1, 2, 3, 4, 5, followed by 6's = A101272,
%C A234305 N16(3)= 1 to  9, followed by 10's,
%C A234305 N16(4)= 1 to 13, followed by 14's, etc.
%C A234305 The distribution by rows are in the example.
%C A234305 The N16(n)'s are respectively on columns (hence triangle T)
%C A234305 1, 2, 4,  6,  9, 12, 16, 20, 25, 30, 36,   A002620(n+2)
%C A234305    3, 5,  8, 11, 15, 19, 24, 29, 35,       A024206(n+2)
%C A234305       7, 10, 14, 18, 23, 28, 34,           A014616(n+3)
%C A234305          13, 17, 22, 27, 33,               A004116(n+4)
%C A234305              21, 26, 32,
%C A234305                  31, etc.
%C A234305 See A163255.
%C A234305 Antidiagonals give the natural numbers A000027, like rows sums in the example.
%C A234305 A033638=1, 1, 2, 3, 5, 7,... is upon the triangle T.
%e A234305 1,      H
%e A234305 2,       He
%e A234305 2, 1,    Li
%e A234305 2, 2,    Be
%e A234305 2, 2, 1,
%e A234305 2, 2, 2,
%e A234305 2, 2, 3,
%e A234305 2, 2, 4,
%e A234305 2, 2, 5,
%e A234305 2, 2, 6,
%e A234305 2, 2, 6, 1,
%e A234305 2, 2, 6, 2,
%e A234305 2, 2, 6, 2, 1,
%e A234305 2, 2, 6, 2, 2,
%e A234305 2, 2, 6, 2, 3,
%e A234305 2, 2, 6, 2, 4,
%e A234305 2, 2, 6, 2, 5,
%e A234305 2, 2, 6, 2, 6,
%e A234305 2, 2, 6, 2, 6, 1,
%e A234305 2, 2, 6, 2, 6, 2,
%e A234305 2, 2, 6, 2, 6, 2, 1,
%e A234305 2, 2, 6, 2, 6, 2, 2,
%e A234305 2, 2, 6, 2, 6, 2, 3, etc.
%Y A234305 Cf. A002061, A002522 (or A160457), A014206, A059100, diagonals of the triangle T. A004526.
%K A234305 nonn,tabf,uned
%O A234305 1,2
%A A234305 _Paul Curtz_, Jan 02 2014