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Search: id:A115030
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| A115030 |
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Number of distinct sums of subsets of the first n prime numbers. |
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+0
1
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| 1, 3, 6, 11, 22, 35, 52, 71, 94, 123, 154, 191, 232, 275, 322, 375, 434, 495, 562, 633, 706, 785, 868, 957, 1054, 1155, 1258, 1365, 1474, 1587, 1714, 1845, 1982, 2121, 2270, 2421, 2578, 2741, 2908, 3081, 3260, 3441, 3632, 3825, 4022, 4221, 4432, 4655, 4882
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OFFSET
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1,2
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COMMENT
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a(n) = A007504(n) - 6 for n>3, the 6 numbers that can't be written as sum of distinct primes not greater A000040(n) are {1,4,6,s-6,s-4,s-1} with s=A007504(n).
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EXAMPLE
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n=4 (2, 3, 5, and 7): 2, 3, 5=2+3, 7=2+5, 8=3+5, 9=2+7,
10=2+3+5=3+7,
12=2+3+7=5+7, 14=2+5+7, 15=3+5+7, and 17=2+3+5+7:
a(4) = {2, 3, 5, 7, 8, 9, 10, 12, 14, 15, 17} = 11.
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CROSSREFS
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Cf. A000586.
Sequence in context: A132658 A024495 A104253 this_sequence A018177 A103322 A117075
Adjacent sequences: A115027 A115028 A115029 this_sequence A115031 A115032 A115033
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 25 2006
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