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Search: id:A077347
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| 1, 225, 361, 441, 5329, 6400, 7744, 80089, 90000, 101124, 112896, 122500, 135424, 145924, 157609, 165649, 179776, 1806336, 1901641, 2013561, 2114116, 2220100, 2325625, 2427364, 2528100, 2637376, 2742336, 2845969, 2951524, 3059001
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(n) = n-th square beginning with n. A018796 contains initial terms of rows. Subsidiary sequence: There can be a rearrangement of squares in groups so that the n-th group contains n squares beginning with n and not occurring earlier. E.g. the initial term of row 25 would be 256 and not 25 and accordingly the final terms would differ.
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MAPLE
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startsWith := proc(n, dig) local nshft ; nshft := n ; while nshft > dig do nshft := floor(nshft/10) ; od ; if dig = nshft then RETURN(true) ; else RETURN(false) ; fi ; end: A077347 := proc(n) local candid, c; candid := 1 ; for c from 1 to n do while not startsWith(candid^2, n) do candid := candid+1 ; od ; if c = n then RETURN(candid^2) ; fi ; candid := candid+1 ; od ; end: for n from 1 to 50 do printf("%a, ", A077347(n)) ; od ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 12 2006
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CROSSREFS
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Cf. A018796, A077346, A077348, A077349.
Adjacent sequences: A077344 A077345 A077346 this_sequence A077348 A077349 A077350
Sequence in context: A051367 A076007 A044871 this_sequence A069919 A117246 A027470
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 05 2002
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 12 2006
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