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A075528
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Triangular numbers that are half other triangular numbers.
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8
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0, 3, 105, 3570, 121278, 4119885, 139954815, 4754343828, 161507735340, 5486508657735, 186379786627653, 6331426236682470, 215082112260576330, 7306460390622912753, 248204571168918457275, 8431648959352604634600
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| Martin V Bonsangue, Gerald E Gannon & Laura J. Pheifer, Misinterpretations can sometimes be a good thing, Math. Teacher, vol. 95, No. 6 (2002) pp. 446-449.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (35,-35,1).
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FORMULA
| a(n) = 3*A029546(n-1) = A029549(n)/2.
G.f.: 3*x/((1-x)*(1-34*x+x^2)).
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MATHEMATICA
| CoefficientList[ Series[ 3x/(1 - 35 x + 35 x^2 - x^3), {x, 0, 15}], x] (* Robert G. Wilson v, June 24 2011 *)
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CROSSREFS
| Sequence in context: A197632 A050651 A103037 * A101485 A074072 A037115
Adjacent sequences: A075525 A075526 A075527 * A075529 A075530 A075531
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KEYWORD
| nonn
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net), Sep 19 2002
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