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A068043
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Number of subsets of {1,2,3,...,n} that sum to 0 mod 25.
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1
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1, 1, 1, 1, 1, 1, 1, 3, 10, 23, 43, 82, 164, 328, 656, 1312, 2622, 5243, 10486, 20972, 41945, 83887, 167773, 335546, 671092, 1342184, 2684360, 5368712, 10737422, 21474842, 42949682, 85899350, 171798690, 343597388, 687194782, 1374389558
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OFFSET
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0,8
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LINKS
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FORMULA
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Empirical G.f.: -(x -1) * (4*x^29 +4*x^28 +4*x^27 -4*x^24 -4*x^23 -4*x^22 -3*x^21 -2*x^20 -x^19 -x^18 -x^17 -2*x^16 +4*x^15 +10*x^14 +4*x^13 -4*x^12 -6*x^11 -8*x^10 -9*x^9 -4*x^8 +2*x^7 +5*x^6 +6*x^5 +3*x^4 +2*x^3 +x^2 -1) / ((2*x -1)*(2*x^5 -1)*(2*x^25 -1)). [Colin Barker, Dec 23 2012]
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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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