A342711 Partial sums of A000267.

1, 3, 6, 9, 13, 17, 22, 27, 32, 38, 44, 50, 57, 64, 71, 78, 86, 94, 102, 110, 119, 128, 137, 146, 155, 165, 175, 185, 195, 205, 216, 227, 238, 249, 260, 271, 283, 295, 307, 319, 331, 343, 356, 369, 382, 395, 408, 421, 434, 448, 462, 476, 490, 504, 518, 532, 547

Offset

0,2

Comments

a(n) = A109512(n+1) for n = 0..23.

This sequence is the partial sums of A000267, which in turn is the partial sums of A240025.

It can be used to obtain a formula for the n-th term of A342712.

Links

Table of n, a(n) for n=0..56.

Mathematica

Accumulate @ Array[Floor @ Sqrt[4*# + 1] &, 100, 0] (* Amiram Eldar, Mar 19 2021 *)

Prog

(PARI) a(n) = sum(i=0, n, sqrtint(4*i+1)); \\ Michel Marcus, Mar 19 2021

Crossrefs

Cf. A000267, A240025, A342712.

Sequence in context: A330321 A205726 A002815 * A109512 A025205 A024190

Adjacent sequences: A342708 A342709 A342710 * A342712 A342713 A342714

Keyword

nonn

Author

Slav E. Angelov, Mar 19 2021

Status

approved