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Search: id:A048284
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| A048284 |
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For k >= A048283(n), there are a(n) numbers expressible as a sum of exactly k-n k-gonal numbers. |
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+0
2
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| 2, 4, 6, 7, 9, 9, 12, 14, 14, 15, 17, 19, 20, 20, 21, 23, 26, 26, 27, 27, 29, 31, 33, 34, 35, 35, 35, 37, 39, 41, 42, 44, 44, 44, 44, 46, 48, 51, 52, 54, 54, 54, 54, 54, 55, 57, 61, 62, 63, 64, 64, 65, 65, 65, 67, 69, 72, 73, 75, 75, 76, 77, 77, 77, 77, 78, 81, 84, 85, 86, 87, 88, 90, 90, 90, 90, 90
(list; graph; listen)
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OFFSET
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0,1
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EXAMPLE
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For k >= 6, the 2 numbers 2k-1 and 5k-4 are the sum of at best k k-gonal numbers. Hence a(0) = 2.
For k >= 9, the 4 numbers k-1, 2k-2, 4k-4, and 5k-5 are the sum of at best k-1 k-gonal numbers. Hence a(1) = 4.
For k >= 10, the 6 numbers k-2, 2k-3, 3k-4, 4k-5, 5k-6, and 8k-9 are the sum of at best k-2 k-gonal numbers. Hence a(2) = 6.
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CROSSREFS
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Adjacent sequences: A048281 A048282 A048283 this_sequence A048285 A048286 A048287
Sequence in context: A096750 A088458 A065853 this_sequence A026516 A111094 A064427
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KEYWORD
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nonn
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net)
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EXTENSIONS
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Definition corrected by Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Jun 27 2007
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