This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A182638 #7 Mar 30 2012 18:57:11 %S A182638 1,3,2,8,6,3,27,16,10,4,100,54,29,13,5,379,200,102,38,17,6,1447,759, %T A182638 381,133,50,20,7,5536,2899,1449,497,176,59,23,8,21191,11092,5538,1890, %U A182638 658,208,67,27,9,81124,42458,21192,7223,2504,779,235,80 %N A182638 Upper Beatty array of sqrt(2). %C A182638 Upper and lower Beatty arrays U and L are defined in general at A181661. Notation: U(n,k) and L(n,k) for n>=1 and k>=0. %C A182638 Column 2 of U is A001952, the Beatty sequence of 2+sqrt(2); column 2 of L is the complement, A001951, the Beatty sequence of sqrt(2). %C A182638 U(n,k)-L(n,k)=2n for all n>=1 and k>=1. %e A182638 Northwest corner of U: %e A182638 1.....3.....8....27...100... %e A182638 2.....6....16....54...200... %e A182638 3....10....29...102...381... %e A182638 4....13....38...133...497... %Y A182638 Cf., A181661, A181886, A182639. %K A182638 nonn,tabl %O A182638 1,2 %A A182638 _Clark Kimberling_, Nov 22 2010