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Search: id:A112668
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| A112668 |
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Triangle read by rows: row n gives an n-term geometic progressions with first term 1 such that the sum of the n terms is a multiple of n. |
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+0 4
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| 1, 1, 3, 1, 4, 16, 1, 3, 9, 27, 1, 6, 36, 216, 1296, 1, 5, 25, 125, 625, 3125, 1, 8, 64, 512, 4096, 32768, 262144, 1, 3, 9, 27, 81, 243, 729, 2187, 1, 4, 16, 64, 256, 1024, 4096, 16384, 65536, 1, 9, 81, 729, 6561, 59049, 531441, 4782969, 43046721, 387420489, 1
(list; table; graph; listen)
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OFFSET
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1,3
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EXAMPLE
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1
1 3
1 4 16
1 3 9 27
1 6 36 216 1296
1 5 25 125 625 3125
...
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MAPLE
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A112668 := proc(n) local a2, i, a ; a2 := 2 ; while (1-a2^n)/(1-a2) mod n <> 0 do a2 := a2+1 ; od ; a := [] ; for i from 1 to n do a := [op(a), a2^(i-1)] ; od ; RETURN(a) ; end: for row from 1 to 14 do r := A112668(row) : for n from 1 to nops(r) do printf("%d, ", op(n, r)) ; od : od : - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 13 2007
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CROSSREFS
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Cf. A110737, A110738, A110739.
Adjacent sequences: A112665 A112666 A112667 this_sequence A112669 A112670 A112671
Sequence in context: A066712 A064809 A058361 this_sequence A016734 A125846 A143467
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 10 2005
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 13 2007
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