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Search: id:A108770
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| A108770 |
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Numbers n such that n^2 + (n+1)^2 is a brilliant number. |
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| 3, 10, 15, 20, 27, 37, 59, 92, 105, 120, 152, 155, 175, 190, 215, 219, 242, 245, 254, 255, 277, 300, 302, 307, 325, 337, 362, 365, 370, 402, 415, 614, 930, 944, 987, 1049, 1059, 1112, 1192, 1204, 1210, 1220, 1265, 1312, 1344, 1360, 1374, 1449, 1460, 1504, 1527
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Consecutive terms are (254,255) (4099,4100) (11159,11160) (25094,25095) (31754,31755) (40189,40190) ... Conjecture: There are infinitely many consecutive values.
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EXAMPLE
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92 is a term because 92^2 + 93^2 = 17113 = 109*157 and both of its
factors have three digits.
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CROSSREFS
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Cf. A078972, A027861.
Sequence in context: A048852 A141463 A134102 this_sequence A112355 A074314 A077759
Adjacent sequences: A108767 A108768 A108769 this_sequence A108771 A108772 A108773
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KEYWORD
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base,easy,nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Jun 25 2005
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