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A023536
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Convolution of natural numbers with A023532.
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0
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1, 2, 4, 7, 10, 14, 19, 25, 31, 38, 46, 55, 65, 75, 86, 98, 111, 125, 140, 155, 171, 188, 206, 225, 245, 266, 287, 309, 332, 356, 381, 407, 434, 462, 490, 519, 549, 580, 612, 645, 679, 714, 750, 786, 823, 861, 900, 940, 981, 1023, 1066, 1110, 1155
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n) = (n(n + 5) - 4 )/2 - sum(k=2 to n) Floor(1/2 + sqrt(2(k + 2))). - Jan Hagberg (jan.hagberg(AT)stat.su.se), Oct 16 2002
a(n)=(n+1)(n+2)/2-sum{k=1..n+1, floor((sqrt(8k+1)-1)/2)}; a(n)=sum{k=1..n+1, k-floor((sqrt(8k+1)-1)/2)}. - Paul Barry (pbarry(AT)wit.ie), May 24 2004
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CROSSREFS
| Cf. A005230.
Sequence in context: A022776 A025704 A025710 * A196126 A024536 A177237
Adjacent sequences: A023533 A023534 A023535 * A023537 A023538 A023539
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| Corrected by Jan Hagberg (jan.hagberg(AT)stat.su.se), Oct 16 2002
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