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A062372
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Numbers the product of whose nonzero digits is a perfect cube.
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1
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1, 8, 10, 11, 18, 24, 39, 42, 80, 81, 88, 93, 100, 101, 108, 110, 111, 118, 124, 139, 142, 180, 181, 188, 193, 204, 214, 222, 240, 241, 248, 284, 309, 319, 333, 389, 390, 391, 398, 402, 412, 420, 421, 428, 444, 469, 482, 496, 555, 649, 666, 694, 777, 800, 801
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,1000
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EXAMPLE
| 142 is a member as 1*4*2 =8 is a cube. 180 is also a member as 1*8 = 8.
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PROG
| (PARI) ProdNzD(x)= { p=1; while (x>9, d=x-10*(x\10); if (d, p*=d); x\=10); return(p*x) } iscube(x)= { f=factor(x)~; for(i=1, length(f), if (t=f[2, i]%3, return(0))); return(1); } { n=-1; for (m=1, 10^9, if (iscube(ProdNzD(m)), write("b062372.txt", n++, " ", m); if (n==1000, break)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 06 2009]
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CROSSREFS
| Sequence in context: A006757 A126803 A122990 * A046031 A102758 A176815
Adjacent sequences: A062369 A062370 A062371 * A062373 A062374 A062375
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KEYWORD
| nonn,base,easy
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 26 2001
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EXTENSIONS
| Corrected and extended by Larry Reeves (larryr(AT)acm.org), Jul 06 2001
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