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A266742
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Irregular triangle read by rows: T(n,k) = floor(n/(prime(k)-1)), n>=1, 1 <= k <= pi(n+1), where pi is A000720.
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3
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1, 2, 1, 3, 1, 4, 2, 1, 5, 2, 1, 6, 3, 1, 1, 7, 3, 1, 1, 8, 4, 2, 1, 9, 4, 2, 1, 10, 5, 2, 1, 1, 11, 5, 2, 1, 1, 12, 6, 3, 2, 1, 1, 13, 6, 3, 2, 1, 1, 14, 7, 3, 2, 1, 1, 15, 7, 3, 2, 1, 1, 16, 8, 4, 2, 1, 1, 1, 17, 8, 4, 2, 1, 1, 1, 18, 9, 4, 3, 1, 1, 1, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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H. T. Davis, Tables of the Mathematical Functions, Vols. 1 and 2, 2nd ed., 1963, Vol. 3 (with V. J. Fisher), 1962; Principia Press of Trinity Univ., San Antonio, TX. [Annotated scan of pages 204-208 of Volume 2.] See Table 1 on page 205.
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EXAMPLE
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Triangle begins:
[1]
[2, 1]
[3, 1]
[4, 2, 1]
[5, 2, 1]
[6, 3, 1, 1]
[7, 3, 1, 1]
[8, 4, 2, 1]
[9, 4, 2, 1]
[10, 5, 2, 1, 1]
[11, 5, 2, 1, 1]
[12, 6, 3, 2, 1, 1]
[13, 6, 3, 2, 1, 1]
[14, 7, 3, 2, 1, 1]
...
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MAPLE
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with(numtheory);
f:=n->[seq(floor(n/(ithprime(i)-1)), i=1..pi(n+1))];
for n from 1 to 20 do lprint(f(n)); od:
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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