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 A022776 #27 Sep 10 2019 21:40:52 %S A022776 1,2,4,7,10,14,19,24,30,37,45,53,62,72,82,93,105,118,131,145,160,175, %T A022776 191,208,225,243,262,282,302,323,345,367,390,414,439,464,490,517,544, %U A022776 572,601,630,660,691,723,755,788,822,856,891,927,964,1001 %N A022776 Place where n-th 1 occurs in A023115. %C A022776 Positions of the integers when the numbers a + b*sqrt(2) are arranged in increasing order. - _Clark Kimberling_, Mar 16 2015 %C A022776 It seems the name of this sequence could also be "Indices where records occur in A007336". - _Ivan N. Ianakiev_, Sep 09 2019 %H A022776 Clark Kimberling, <a href="/A022776/b022776.txt">Table of n, a(n) for n = 1..1000</a> %F A022776 a(n) = 1 + Sum_{k=1..n-1} ceiling(r*k) where r=1/sqrt(2). - _Benoit Cloitre_, Jan 24 2009 %e A022776 The ordering of numbers a+b*r, where r = sqrt(2) as in Comments, begins with 0, 1, r, 2, 1+r, 2r, 3, 2+r, 1+2r, 4, ... in which the positions of integers are 1, 2, 4, 7, 10. %t A022776 t = Table[n + 1 + Sum[Floor[(n - k)/Sqrt[2]], {k, 0, n}], {n, 0, 200}] (* A022776 *) %t A022776 Differences[t] (* A049474 *) (* _Clark Kimberling_, Mar 14 2015 *) %o A022776 (PARI) a(n)=1+sum(k=1,n-1,ceil(k/sqrt(2))) \\ _Benoit Cloitre_, Jan 24 2009 %Y A022776 Cf. A023115, A049474. %K A022776 nonn %O A022776 1,2 %A A022776 _Clark Kimberling_