

A069762


Frobenius number of the numerical semigroup generated by three consecutive pyramidal numbers.


1



51, 191, 609, 1324, 2813, 4711, 8576, 13894, 23319, 34165, 51661, 71126, 100529, 136239, 187543, 241586, 321251, 404839, 516704, 645358
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,1


COMMENTS

Frobenius number of a numerical semigroup generated by relatively prime integers a_1,...,a_n is the largest positive integer that is not a nonnegative linear combination of a_1,...,a_n. Since three consecutive pyramidal numbers are relatively prime, they generate a numerical semigroup with a Frobenius number.


REFERENCES

R. Froberg, C. Gottlieb and R. Haggkvist, "On numerical semigroups", Semigroup Forum, 35 (1987), 6383 (for definition of Frobenius number).


LINKS

Table of n, a(n) for n=0..19.


EXAMPLE

a(2)=51 because 51 is not a nonnegative linear combination of 5, 14 and 30, but all integers greater than 51 are.


CROSSREFS

Cf. A000330, A037165, A059769, A069755A069764.
Sequence in context: A257352 A008883 A327624 * A245829 A031431 A157365
Adjacent sequences: A069759 A069760 A069761 * A069763 A069764 A069765


KEYWORD

easy,nonn


AUTHOR

Victoria A Sapko (vsapko(AT)canes.gsw.edu), Apr 18 2002


STATUS

approved



