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A039889
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Number of partitions satisfying cn(2,5) < cn(1,5) + cn(4,5) and cn(3,5) < cn(1,5) + cn(4,5).
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1
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1, 1, 1, 3, 4, 6, 9, 11, 17, 26, 32, 46, 60, 78, 111, 138, 183, 236, 297, 399, 489, 630, 794, 978, 1262, 1541, 1923, 2392, 2907, 3638, 4418, 5406, 6617, 7980, 9755, 11772, 14193, 17148, 20514, 24688, 29549, 35242, 42111, 50017, 59446
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OFFSET
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1,4
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COMMENTS
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For a given partition cn(i,n) means the number of its parts equal to i modulo n.
Short: 2 < 1 + 4 and 3 < 1 + 4 (BBMAAp).
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LINKS
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PROG
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(PARI) has(vs)=my(cn=vector(5)); for(i=1, #vs, cn[vs[i]%5+1]++); cn[3]<cn[2]+cn[5] && cn[4]<cn[2]+cn[5]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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