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Search: id:A038838
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| A038838 |
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Divisible by square of odd prime. |
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+0
4
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| 9, 18, 25, 27, 36, 45, 49, 50, 54, 63, 72, 75, 81, 90, 98, 99, 100, 108, 117, 121, 125, 126, 135, 144, 147, 150, 153, 162, 169, 171, 175, 180, 189, 196, 198, 200, 207, 216, 225, 234, 242, 243, 245, 250, 252, 261, 270, 275, 279, 288, 289, 294, 297, 300, 306
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Condition 1 of Theorem 7.5 (Robinson, 1979) includes: "k is a multiple of a square of an odd prime." - Jonathan Vos Post (jvospost2(AT)yahoo.com), Aug 06 2007
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REFERENCES
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R. M. Robinson, Multiple tiling of n-dimensional space by unit cubes, Math. Z. 166 (1979), 225-264.
Chuanming Zong, What is known about unit cubes, Bull. Amer. Math. Soc. 42 (2005), 181-211; Robinson theorem cited on p. 204.
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LINKS
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Beeler, M., Gosper, R. W., and Schroeppel, R., HAKMEM ITEM 45
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FORMULA
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{a(n)} = {j such that for some k>1 A001248(k)|j} = {j such that for some k>0 (A065091(k)^2)|j}. - Jonathan Vos Post (jvospost2(AT)yahoo.com), Aug 06 2007
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PROGRAM
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(PARI) {a(n)= local(m, c); if(n<1, 0, c=0; m=0; while( c<n, m++; if( moebius(m/2^valuation(m, 2))==0, c++)); m)} /* Michael Somos Aug 22 2006 */
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CROSSREFS
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Cf. A000040, A001248, A065091.
Adjacent sequences: A038835 A038836 A038837 this_sequence A038839 A038840 A038841
Sequence in context: A109661 A015798 A028494 this_sequence A038837 A034046 A069562
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KEYWORD
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nonn
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AUTHOR
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Dave Wilson
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