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Search: id:A048397
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| A048397 |
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Sum of consecutive non-fourth-powers. |
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+0
3
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| 0, 119, 3104, 29319, 162104, 643535, 2040744, 5502959, 13129424, 28468359, 57167120, 107793719, 192849864, 329995679, 543506264, 865980255, 1340320544, 2022007319, 2981683584, 4308073319, 6111252440, 8526292719, 11717298824
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OFFSET
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0,2
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COMMENT
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Relationship with tetrahedral numbers: a(4) = (first term + last term).(6.Tetra_n + n^3) = (82+255).(6.10+27) = (337).(87) = 29319.
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FORMULA
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Formula = 4.n^7 + 14.n^6 + 28.n^5 + 34.n^4 + 26.n^3 + 11.n^2 + 2.n.
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EXAMPLE
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Between 3^4 and 4^4 we have 82+83+.. ..+254+255 which is 29319 or a(4).
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CROSSREFS
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Cf. A048395, A048396, A000292.
Sequence in context: A116485 A126563 A067134 this_sequence A020529 A069328 A020546
Adjacent sequences: A048394 A048395 A048396 this_sequence A048398 A048399 A048400
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KEYWORD
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nonn,nice
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AUTHOR
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Patrick De Geest (pdg(AT)worldofnumbers.com), Mar 15 1999.
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