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A076366
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Number of numbers for which the count of nonprimes (i.e. 1 and composites) in their reduced residue set equals n.
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2
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10, 6, 6, 4, 4, 7, 3, 4, 3, 7, 4, 4, 0, 6, 5, 1, 4, 3, 7, 4, 7, 2, 3, 3, 2, 2, 6, 5, 2, 2, 0, 6, 4, 3, 5, 4, 5, 3, 1, 3, 3, 4, 4, 6, 2, 3, 1, 6, 1, 6, 3, 6, 1, 4, 4, 4, 1, 1, 3, 6, 3, 2, 4, 4, 1, 1, 2, 4, 6, 0, 3, 4, 3, 5, 4, 1, 2, 8, 2, 5, 6, 2, 2, 5, 1, 4, 2, 4, 7, 2, 1, 2, 6, 1, 3, 5, 2, 3, 5, 3
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..100.
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FORMULA
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a(n)=Card{x; A048864(x)=n}; a(n)=0 if supposedly no such number exists [See A072023].
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EXAMPLE
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A048864[x] = 13: S=solution set= {}, a[13]=0 A048864[x] = 16: S = {144}, a[16]=1 A048864[x] = 22:,S = {57,92}, a[22]=2 A048864[x] = 7: S = {13,34,50}, a[7]=3 A048864[x] = 4: S = {15,22,54,84}, a[4]=4 A048864[x] = 15: S = {35,64,68,156,240}, a[15]=5 A048864[x] = 2: S = {5,10,14,20,42,60}, a[2]=6 A048864[x] = 6: S = {11,21,32,40,72,78,210}, a[6]=7 A048864[x] = 78: S = {133,177,268,440,490,552,870,990}, a[78]=8 A048864[x] = 1: S = {1,2,3,4,6,8,12,18,24,30}, a[1]=10; See A048597.
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CROSSREFS
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Cf. A072022, A072023, A048864, A048597, A048865, A000010, A000720, A001221, a076365.
Sequence in context: A193952 A158508 A102690 * A105155 A072930 A071358
Adjacent sequences: A076363 A076364 A076365 * A076367 A076368 A076369
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Oct 10 2002
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STATUS
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approved
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