A109726 Divide primes in groups with 2n elements and add together.

0, 5, 36, 156, 442, 954, 1854, 3154, 4998, 7514, 10784, 14786, 19932, 26148, 33448, 42340, 52208, 64322, 77898, 93116, 110224, 129978, 151990, 175224, 201584, 231272, 263500, 298590, 335856, 376616, 420984, 469894, 521740, 577304, 634990

Offset

0,2

Comments

First difference of A322420.

Links

Ray Chandler, Table of n, a(n) for n = 0..10000

Formula

a(n) = A007504(n*(n+1)) - A007504(n*(n-1)).

Mathematica

f[n_] := Sum[Prime[k], {k, n}]; Table[f[n*(n + 1)] - f[n*(n - 1)], {n, 0, 34}]

Crossrefs

Cf. A007504, A109722-A109725, A322420.

Sequence in context: A196481 A096945 A063417 * A272561 A266097 A196714

Adjacent sequences: A109723 A109724 A109725 * A109727 A109728 A109729

Keyword

easy,nonn

Author

Giovanni Teofilatto, Aug 10 2005

Extensions

Edited and extended by Ray Chandler, Aug 11 2005

Status

approved