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A134557
Triangle multiplicatively decoded from A039716, the factorials of the prime numbers, read by rows.
0
1, 1, 1, 3, 1, 1, 4, 2, 1, 1, 8, 4, 2, 1, 1, 10, 5, 2, 1, 1, 1, 15, 6, 3, 2, 1, 1, 1, 16, 8, 3, 2, 1, 1, 1, 1, 19, 9, 4, 3, 2, 1, 1, 1, 1, 25, 13, 6, 4, 2, 2, 1, 1, 1, 1, 26, 14, 7, 4, 2, 2, 1, 1, 1, 1, 1, 34, 17, 8, 5, 3, 2, 2, 1, 1, 1, 1, 1, 38, 18, 9, 5, 3, 3, 2, 2, 1, 1, 1, 1, 1, 39, 19, 9, 6, 3, 3, 2
OFFSET
1,4
REFERENCES
N. J. A. Sloane, The Encyclopedia of Integer Sequences. New York: Academic Press (1995): Fig. M1722, "Multiplicative encoding of a triangular array"
EXAMPLE
Triangle begins:
{1}
{1, 1}
{3, 1, 1}
{4, 2, 1, 1}
{8, 4, 2, 1, 1}
{10, 5, 2, 1, 1, 1}
{15, 6, 3, 2, 1, 1, 1}
{16, 8, 3, 2, 1, 1, 1, 1}
Row 5 of the triangle is 8, 4, 2, 1, 1 because A039716(5) = 39916800 and 39916800 = 2^8 * 3^4 * 5^2 * 7^1 * 11^1.
MATHEMATICA
ColumnForm[Table[Take[Flatten[FactorInteger[Prime[n]! ]], {2, 2n, 2}], {n, 15}], Center]
CROSSREFS
Cf. A039716.
Sequence in context: A023579 A023577 A188139 * A290342 A219842 A351402
KEYWORD
nonn,tabl
AUTHOR
Alonso del Arte, Jan 22 2008
STATUS
approved