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Search: id:A060961
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| A060961 |
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Number of ordered partitions of n into 1's, 3's and 5's. |
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+0
2
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| 1, 1, 2, 3, 5, 8, 12, 19, 30, 47, 74, 116, 182, 286, 449, 705, 1107, 1738, 2729, 4285, 6728, 10564, 16587, 26044, 40893, 64208, 100816, 158296, 248548, 390257, 612761
(list; graph; listen)
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OFFSET
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1,3
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,500
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FORMULA
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a(n)=a(n-1)+a(n-3)+a(n-5) G.f.: (x+x^3+x^5)/(1-(x+x^3+x^5))
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PROGRAM
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(PARI) { for (n=1, 500, if (n>5, a=a1 + a3 + a5; a5=a4; a4=a3; a3=a2; a2=a1; a1=a, if (n==1, a=a5=1, if (n==2, a=a4=1, if (n==3, a=a3=2, if (n==4, a=a2=3, a=a1=5))))); write("b060961.txt", n, " ", a); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 15 2009]
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CROSSREFS
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A060945 (1's, 2's and 4's)
Sequence in context: A099823 A023436 A024567 this_sequence A013984 A107479 A117761
Adjacent sequences: A060958 A060959 A060960 this_sequence A060962 A060963 A060964
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KEYWORD
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nonn
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AUTHOR
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Len Smiley (smiley(AT)math.uaa.alaska.edu), May 08 2001
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