A253588 Upward antidiagonals of array of all multiples of primorial(n), for each n>0.

2, 6, 4, 30, 12, 6, 210, 60, 18, 8, 2310, 420, 90, 24, 10, 30030, 4620, 630, 120, 30, 12, 510510, 60060, 6930, 840, 150, 36, 14, 9699690, 1021020, 90090, 9240, 1050, 180, 42, 16, 223092870, 19399380, 1531530, 120120, 11550, 1260, 210, 48, 18

Offset

1,1

Links

Table of n, a(n) for n=1..45.

Formula

a(n,k) = k*A002110(n), n>0.

a(n,n) = A250130(n).

Example

Array starts:
{    2,     4,     6,      8,     10,     12,     14,     16,     18, ...}
{    6,    12,    18,     24,     30,     36,     42,     48,     54, ...}
{   30,    60,    90,    120,    150,    180,    210,    240,    270, ...}
{  210,   420,   630,    840,   1050,   1260,   1470,   1680,   1890, ...}
{ 2310,  4620,  6930,   9240,  11550,  13860,  16170,  18480,  20790, ...}
{30030, 60060, 90090, 120120, 150150, 180180, 210210, 240240, 270270, ...}

Mathematica

Flatten[Table[k*Product[Prime[j], {j, n - k + 1}], {n, 9}, {k, n}]]

Crossrefs

Cf. A000040 (primes), A002110 (primorials).

Sequence in context: A073039 A373158 A322792 * A228099 A227955 A324922

Adjacent sequences: A253585 A253586 A253587 * A253589 A253590 A253591

Keyword

nonn,tabl

Author

L. Edson Jeffery, Jan 04 2015

Status

approved