A278484 Main diagonal of A278482.

0, 2, 6, 12, 18, 26, 38, 48, 62, 78, 90, 108, 132, 146, 180, 206, 222, 252, 288, 306, 348, 386, 398, 458, 480, 528, 566, 612, 648, 708, 762, 806, 842, 926, 948, 1008, 1092, 1110, 1188, 1260, 1320, 1358, 1470, 1482, 1578, 1692, 1718, 1806, 1898, 1932, 2022, 2160, 2186, 2268, 2366, 2478, 2532, 2702, 2738, 2798, 2966, 3018

Offset

0,2

Links

Antti Karttunen, Table of n, a(n) for n = 0..10000

D. Wilson et al., Interesting sequence, SeqFan list, Nov. 2016

Index entries for sequences generated by sieves

Formula

By definition, a(n) = A278482(n,n).

a(n) = A000960(n + 1) - 1.

a(n) = 2*A073359(n). [Observed by Arie Groeneveld on SeqFan list, Nov 22 2016.] [Conjectural, true for n <= 2000 David W. Wilson, Nov 23 2016]

Mathematica

a[n_]:= Fold[Floor@Times@##&, Prepend[Table[(k + 1)/k, {k, n, 1, -1}], n]] (* Ethan Beihl, Nov 29 2016 *)

Crossrefs

Cf. A000960, A073359.

Main diagonal of A278482 (and A278483).

Partial sums of A278484.

Sequence in context: A108585 A294062 A193764 * A159793 A238739 A006511

Adjacent sequences: A278481 A278482 A278483 * A278485 A278486 A278487

Keyword

nonn

Author

Antti Karttunen, Nov 23 2016 after David W. Wilson's posting on SeqFan list Nov 22 2016

Status

approved