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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 (list; table; graph; refs; listen; history; text; internal format)
 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" LINKS PlanetMath, Multiplicative encoding 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 A134264 Adjacent sequences:  A134554 A134555 A134556 * A134558 A134559 A134560 KEYWORD nonn,tabl AUTHOR Alonso del Arte, Jan 22 2008 STATUS approved

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Last modified October 15 11:25 EDT 2018. Contains 316224 sequences. (Running on oeis4.)