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A010752
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Sum along upward diagonal of Pascal triangle to center.
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3
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1, 1, 1, 3, 4, 5, 12, 17, 23, 50, 73, 103, 211, 314, 455, 895, 1350, 1993, 3805, 5798, 8679, 16193, 24872, 37633, 68940, 106573, 162643, 293526, 456169, 701075, 1249622, 1950697, 3015563, 5318976, 8334539, 12948083, 22634700, 35582783, 55513327, 96296410
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OFFSET
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0,4
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LINKS
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FORMULA
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a(n) = Sum_{k=0..floor(n/3)} binomial(n - k, k). - Sean A. Irvine, Jun 08 2018
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PROG
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(PARI) a(n) = sum(k=0, n\3, binomial(n-k, k)); \\ Seiichi Manyama, Feb 10 2022
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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