A120725 Prime sum of squared build up triangular array.

2, 3, 9, 5, 11, 35, 7, 13, 37, 11, 17, 41, 95, 13, 19, 43, 97, 17, 23, 47, 101, 197, 19, 25, 49, 103, 199, 23, 29, 53, 107, 203, 29, 35, 59, 113, 209, 31, 37, 61, 115, 211, 361, 37, 43, 67, 121, 217, 367, 41, 47, 71, 125, 221, 371, 587, 43, 49, 73, 127, 223, 373

Offset

1,1

Links

Table of n, a(n) for n=1..62.

Formula

a(n,m) = prime(m) + 6 * Sum_{i=1..n} i^2.

Example

Array begins:
  2
  3, 9
  5, 11, 35
  7, 13, 37
  11, 17, 41, 95
  13, 19, 43, 97
  17, 23, 47, 101, 197
  19, 25, 49, 103, 199
  23, 29, 53, 107, 203
  29, 35, 59, 113, 209
  ...

Mathematica

t[n_, m_] = Prime[m] + 6*Sum[i^2, {i, 1, n}]; Table[Table[t[n, m], {n, 0, PrimePi[m]}], {m, 1, 10}] // Flatten

Crossrefs

Cf. A120726.

Sequence in context: A176570 A269559 A083173 * A253046 A324576 A109607

Adjacent sequences: A120722 A120723 A120724 * A120726 A120727 A120728

Keyword

nonn,tabf

Author

Roger L. Bagula, Aug 18 2006

Extensions

More terms from Amiram Eldar, Jun 04 2025

Status

approved