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Search: id:A111908
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| A111908 |
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Numbers n that are not the sum of a prime and a nonzero triangular number. |
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1
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| 1, 2, 7, 36, 61, 105, 171, 210, 211, 216, 325, 351, 406, 528, 561, 630, 741, 780, 990, 1081, 1176, 1275, 1596, 1711, 1830, 1953, 2016, 2145, 2346, 2628, 2775, 3003, 3081, 3240, 3321, 3655, 3741, 3916, 4278, 4371, 4465, 4560, 4851, 5253, 5460, 5565, 5866
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Can anybody prove or disprove a(n) = O(n^c) for some constant c?
Jonathan Vos Post has observed that every element in A076768 also occurs in this sequence.
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EXAMPLE
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7 = 1+6 = 2+5 = 3+4; 7 is in the sequence because there is no sum where the first element is a prime and the second one a triangular number.
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CROSSREFS
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Cf. A064233, A000217, A076768, A020756, A072386, A014089, A014090, A000404, A001481, A002654, A100570, A101181.
Sequence in context: A003713 A058129 A101514 this_sequence A060814 A129261 A018997
Adjacent sequences: A111905 A111906 A111907 this_sequence A111909 A111910 A111911
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KEYWORD
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nonn
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AUTHOR
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Stefan Steinerberger (hansibal(AT)hotmail.com), Nov 25 2005
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