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Search: id:A074309
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| A074309 |
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Sum of next n terms of the form i^i. |
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+0
2
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| 4, 283, 50037, 17650540, 10405067904, 9211817140115, 11424093748466841, 18896062057822100616, 40192544399240309019728, 106876212200059543898143707, 347377340594805599176614321101
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OFFSET
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1,1
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COMMENT
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Sum of next n terms of the form i^n is A074209. Sum of first n terms of the form i^n is A031971. Sum of first n terms of the form i^i is A001923.
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FORMULA
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sum(i^i, i=n+1, 2n)
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EXAMPLE
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a(2) = 283 = 3^3 + 4^4, a(3) = 50037 = 4^4 + 5^5 + 6^6, a(4) = 17650540 = 5^5 + 6^6 + 7^7 + 8^8, a(5) = 10405067904 = 6^6 + 7^7 + 8^8 + 9^9 + 10^10.
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MATHEMATICA
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A075543=Table[Sum[i^i, {i, n+1, 2n}], {n, 20}]
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CROSSREFS
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Cf. A001923, A031971, A074209.
Sequence in context: A000320 A101758 A134786 this_sequence A113256 A090088 A110816
Adjacent sequences: A074306 A074307 A074308 this_sequence A074310 A074311 A074312
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Sep 22 2002
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