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A298431
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Numbers n such that there are precisely 14 groups of orders n and n + 1.
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3
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4328, 22311, 29864, 57896, 75368, 99368, 120807, 130664, 131943, 152295, 157287, 164072, 180327, 184232, 212456, 236583, 268712, 276392, 331112, 338792, 381927
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OFFSET
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1,1
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COMMENTS
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Equivalently, lower member of consecutive terms of A294155.
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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 10^5 do if [NumGroups(n), NumGroups(n+1)] = [14, 14] then print(n); fi; od;
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CROSSREFS
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Cf. A000001. Subsequence of A294155 (Numbers n having precisely 14 groups of order n). Numbers n having precisely k groups of orders n and n+1: A295230 (k=2), A295990 (k=4), A295991 (k=5), A295992 (k=6), A295993 (k=8), A298427 (k=9), A298428 (k=10), A295994 (k=11), A298429 (k=12), A298430 (k=13), this sequence (k=14), A295995 (k=15).
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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