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Search: id:A080524
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| A080524 |
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Triangle read by rows in which the n-th row contains n distinct numbers whose sum is n^n. The numbers are terms of an arithmetic progression with a common difference 1 or 2 respectively accordingly as n is odd or even. |
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3
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| 1, 1, 3, 8, 9, 10, 61, 63, 65, 67, 623, 624, 625, 626, 627, 7771, 7773, 7775, 7777, 7779, 7781, 117646, 117647, 117648, 117649, 117650, 117651, 117652, 2097145, 2097147, 2097149, 2097151, 2097153, 2097155, 2097157, 2097159, 43046717, 43046718
(list; table; graph; listen)
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OFFSET
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1,3
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FORMULA
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For 1<=i<=n, T(n, i) = n^(n-1)+(2i-n-1)/2 if n odd; n^(n-1)+(2i-n-1) if n even. - C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 18 2005
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EXAMPLE
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1
1 3
8 9 10
61 63 65 67
623 624 625 626 627
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MAPLE
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l:=[]: for n from 1 to 9 do d:=2-(n mod 2): a:=n^(n-1)-d*(n-1)/2: l:=[op(l), seq(a+d*(i-1), i=1..n)] od: op(l); T:=proc(n, i) local d: d:=2-(n mod 2): RETURN(n^(n-1)+d*(2*i-n-1)/2): end: seq(seq(T(n, i), i=1..n), n=1..9); (C. Ronaldo)
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CROSSREFS
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Cf. A080525, A080526.
Sequence in context: A091767 A024549 A051208 this_sequence A024550 A047472 A028960
Adjacent sequences: A080521 A080522 A080523 this_sequence A080525 A080526 A080527
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KEYWORD
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nonn,tabl
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 21 2003
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EXTENSIONS
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More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 18 2005
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