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Search: id:A135101
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| A135101 |
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Digital sum (base the n-th prime) of n^n. |
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+0
2
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| 1, 2, 3, 10, 15, 24, 55, 46, 71, 116, 101, 180, 213, 196, 205, 276, 307, 444, 337, 610, 621, 646, 687, 808, 985, 876, 921, 996, 1049, 1184, 1417, 1576, 1665, 1576, 2127, 1836, 2377, 1660, 2201, 2088, 2731, 2844, 2847, 2944, 3317, 3232, 3503, 3294, 3165
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n)=ds_prime(n)(n^n), where ds_prime(n)=digital sum base the n-th prime.
a(n)=n^n-(prime(n)-1)*sum{k>0, floor(n^n/prime(n)^k)}.
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EXAMPLE
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a(2)=ds_prime(2)(2^2)=ds_3(4)=1+1=2; a(10)=ds_prime(5)(5^5)=ds_11(3125)=2+3+9+1=15.
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CROSSREFS
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Cf. A000040, A000045, A007953, A054899, A075771, A131451, A133620, A133900, A134599.
Adjacent sequences: A135098 A135099 A135100 this_sequence A135102 A135103 A135104
Sequence in context: A023856 A129315 A075770 this_sequence A108065 A026336 A027913
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KEYWORD
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nonn
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AUTHOR
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Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Dec 24 2007
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