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Search: id:A056768
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| A056768 |
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Number of partitions of the n-th prime into prime parts. |
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+0
4
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| 1, 1, 2, 3, 6, 9, 17, 23, 40, 87, 111, 219, 336, 413, 614, 1083, 1850, 2198, 3630, 5007, 5861, 9282, 12488, 19232, 33439, 43709, 49871, 64671, 73506, 94625, 221265, 279516, 394170, 441250, 766262, 853692, 1175344, 1608014, 1975108, 2675925
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OFFSET
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1,3
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EXAMPLE
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a(4) = 3 because the 4th prime is 7 which can be partitioned using primes in 3 ways: 7, 5+2, or 3+2+2.
In connection with the 6-th prime 13, for instance, we have the a(6)=9 prime partitions 13=2 + 2 + 2 + 2 + 2 + 3=2 + 2 + 2 + 2 + 5=2 + 2 + 2 + 7=2 + 2 + 3 + 3 + 3=2 + 3 + 3 + 5=2 + 11=3 + 3 + 7=3 + 5 + 5.
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CROSSREFS
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Cf. A000041, A000607 (equals A000607(prime(i))).
Sequence in context: A029463 A018721 A018384 this_sequence A029511 A056532 A079289
Adjacent sequences: A056765 A056766 A056767 this_sequence A056769 A056770 A056771
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KEYWORD
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nonn
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AUTHOR
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Brian L. Galebach (sequence(AT)ProbabilitySports.com) Aug 16 2000
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Aug 25 2000
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