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A075771
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Let n^2 = q*prime(n) + r with 0 <= r < prime(n); then a(n) = q + r.
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6
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1, 2, 5, 4, 5, 12, 17, 10, 15, 16, 31, 36, 9, 28, 41, 48, 57, 24, 31, 50, 9, 16, 37, 48, 49, 76, 15, 42, 85, 116, 79, 114, 137, 52, 41, 96, 121, 148, 27, 52, 79, 144, 139, 16, 65, 136, 109, 84, 141, 220, 49, 86, 169, 166, 209, 254, 33, 124, 169, 240, 55, 48, 297, 66
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| The digital sum (base the n-th prime) of n^2. a(n)=ds_prime(n)(n^2), where ds_prime(n)=digital sum base the n-th prime. a(n)=n^2-(prime(n)-1)*floor(n^2/prime(n)). For example, A075771 a(2)=ds_prime(2)(2^2)=ds_3(4)=1+1=2; a(6)=ds_prime(6)(6^2)=ds_13(36)=2+10=12.
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EXAMPLE
| 6^2/p(6) = 36/13 = 2+10/13; a(6) = 2+10 = 12
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CROSSREFS
| Cf. A135101, A135102, A135103.
Sequence in context: A053424 A184617 A163809 * A198813 A132698 A114557
Adjacent sequences: A075768 A075769 A075770 * A075772 A075773 A075774
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KEYWORD
| nonn
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AUTHOR
| Werner Sand (werner.sand(AT)tiscalimail.de), Oct 09 2002
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