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A121853 Cumulative product of A000120. 0
1, 1, 1, 2, 2, 4, 8, 24, 24, 48, 96, 288, 576, 1728, 5184, 20736, 20736, 41472, 82944, 248832, 497664, 1492992, 4478976, 17915904, 35831808, 107495424, 322486272, 1289945088, 3869835264, 15479341056, 61917364224, 309586821120 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

This sequence does not always have prime exponents decreasing (i.e., is not always a product of primorial numbers). The first exception is a(5932), which is divisible by 7^1214, but only 5^1213.

LINKS

Table of n, a(n) for n=0..31.

FORMULA

a(n) = Product_{k=1}^n A000120(k).

MATHEMATICA

Join[{1}, FoldList[Times, Table[DigitCount[n, 2, 1], {n, 40}]]] (* Harvey P. Dale, Dec 08 2015 *)

CROSSREFS

Cf. A000120, A002110, A025487.

Sequence in context: A100396 A056630 A259813 * A064451 A223027 A325514

Adjacent sequences:  A121850 A121851 A121852 * A121854 A121855 A121856

KEYWORD

nonn

AUTHOR

Franklin T. Adams-Watters, Aug 30 2006

STATUS

approved

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Last modified February 28 22:12 EST 2020. Contains 332335 sequences. (Running on oeis4.)