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Search: a214771 -id:a214771
Displaying 1-2 of 2 results found.
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A334077
a(n) is the smallest positive integer that can be expressed as the difference of two positive triangular numbers in at least n ways.
+10
1
2, 5, 9, 27, 45, 63, 105, 135, 225, 315, 315, 315, 945, 945, 945, 945, 1575, 1575, 2835, 2835, 3465, 3465, 3465, 3465, 10395, 10395, 10395, 10395, 10395, 10395, 10395, 10395, 17325, 17325, 17325, 17325, 31185, 31185, 31185, 31185, 45045, 45045, 45045, 45045
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Table of n, a(n) for n=1..44.
Eric Weisstein's World of Mathematics, Triangular Number
CROSSREFS
Cf. A000217, A038547, A052346, A053587, A136107, A136108, A214771, A334078.
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Apr 13 2020
STATUS
approved
A334078
a(n) is the smallest positive integer that can be expressed as the difference of two positive squares in at least n ways.
+10
1
3, 15, 45, 96, 192, 240, 480, 480, 720, 960, 1440, 1440, 2880, 2880, 2880, 3360, 5040, 5040, 6720, 6720, 10080, 10080, 10080, 10080, 20160, 20160, 20160, 20160, 20160, 20160, 30240, 30240, 40320, 40320, 40320, 40320, 60480, 60480, 60480, 60480, 80640, 80640
(list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Table of n, a(n) for n=1..42.
Eric Weisstein's World of Mathematics, Square Number
CROSSREFS
Cf. A000290, A024352, A048610, A068314, A094191, A100073, A214771, A334077.
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Apr 13 2020
STATUS
approved
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