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A053403 Consider the set P of pairs (a,b) generated by the rules: (1,1) is in P; if (a,b) is in P then (b,a+b) is in P; if (a,b) and (a',b') are in P then (aa', bb') is in P. Sequence gives numbers not appearing in P. 1
7, 11, 19, 29, 31, 47, 49, 53, 67, 71, 73, 79, 87, 91, 103, 119, 127, 131, 137, 139, 141, 142, 143, 146, 147, 151, 155, 179, 191, 193, 201, 203, 211, 213, 219, 223, 227, 229, 235, 237, 239, 247, 251, 265, 271, 301, 329, 331, 337, 341, 343, 347, 355, 358, 359 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Sequence has 508 known terms, the largest of which is 55487. Conjecturally it is finite. If it is and 55487 is the largest term, then the function the number of groups of order n takes on all positive integers as values.

REFERENCES

R. Keith Dennis, The number of groups of order n, preprint.

LINKS

Index entries for groups

CROSSREFS

Cf. A000001, A046057.

Sequence in context: A065312 A141337 A192187 * A032672 A133425 A038984

Adjacent sequences:  A053400 A053401 A053402 * A053404 A053405 A053406

KEYWORD

nonn,nice

AUTHOR

R. Keith Dennis (dennis(AT)math.cornell.edu), Jan 07 2000

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.