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 A342711 #19 Apr 11 2021 01:47:38 %S A342711 1,3,6,9,13,17,22,27,32,38,44,50,57,64,71,78,86,94,102,110,119,128, %T A342711 137,146,155,165,175,185,195,205,216,227,238,249,260,271,283,295,307, %U A342711 319,331,343,356,369,382,395,408,421,434,448,462,476,490,504,518,532,547 %N A342711 Partial sums of A000267. %C A342711 a(n) = A109512(n+1) for n = 0..23. %C A342711 This sequence is the partial sums of A000267, which in turn is the partial sums of A240025. %C A342711 It can be used to obtain a formula for the n-th term of A342712. %t A342711 Accumulate @ Array[Floor @ Sqrt[4*# + 1] &, 100, 0] (* _Amiram Eldar_, Mar 19 2021 *) %o A342711 (PARI) a(n) = sum(i=0, n, sqrtint(4*i+1)); \\ _Michel Marcus_, Mar 19 2021 %Y A342711 Cf. A000267, A240025, A342712. %K A342711 nonn %O A342711 0,2 %A A342711 _Slav E. Angelov_, Mar 19 2021