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A296026
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Numbers n such that there are precisely 2 groups of order n and 4 of order n + 1.
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1
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62, 129, 153, 169, 237, 245, 274, 278, 285, 289, 314, 369, 386, 417, 425, 429, 497, 529, 555, 597, 637, 645, 669, 715, 813, 889, 914, 926, 955, 961, 969, 1065, 1101, 1131, 1154, 1221, 1227, 1286, 1341, 1369, 1389, 1405, 1435, 1461, 1497, 1505, 1515, 1557, 1569, 1675, 1771
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OFFSET
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1,1
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LINKS
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FORMULA
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EXAMPLE
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MAPLE
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with(GroupTheory):
for n from 1 to 10^3 do if [NumGroups(n), NumGroups(n+1)]=[2, 4] then print(n); fi; od;
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PROG
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(GAP) A296026 := Filtered([1..2014], n->[NumberSmallGroups(n), NumberSmallGroups(n+1)]=[2, 4]);
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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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