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A180175 Diagonal sums of A164844.

%I A180175 #15 Apr 08 2024 17:46:47
%S A180175 1,10,101,1011,10112,101123,1011235,10112358,101123593,1011235951,
%T A180175 10112359544,101123595495,1011235955039,10112359550534,
%U A180175 101123595505573,1011235955056107,10112359550561680,101123595505617787,1011235955056179467,10112359550561797254
%N A180175 Diagonal sums of A164844.
%C A180175 Sums are built along inclined lines through the triangle with (1,2)-steps in the (row,column) indices. - _R. J. Mathar_, Aug 19 2010
%H A180175 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (11,-9,-10).
%F A180175 From _R. J. Mathar_, Aug 19 2010: (Start)
%F A180175 G.f.: ( 1-x ) / ( (10*x-1)*(x^2+x-1) ).
%F A180175 a(n) = +11*a(n-1) -9*a(n-2) -10*a(n-3).
%F A180175 a(n) = (90*10^n -A022100(n))/89. (End)
%e A180175 From _R. J. Mathar_, Aug 19 2010: (Start)
%e A180175 One example is a(5), the sum of numbers in parentheses:
%e A180175   1;
%e A180175   1, 10;
%e A180175   (1), 11, 100;
%e A180175   1, 12, (111) ; 1000;;
%e A180175   1, 13, 123 ; 1111, (10000); (End)
%Y A180175 Cf. A022100, A164844.
%K A180175 nonn,easy
%O A180175 1,2
%A A180175 _Mark Dols_, Aug 15 2010
%E A180175 More terms from _R. J. Mathar_, Aug 19 2010