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 A226554 Number of squares in all tilings of an n X n square using integer sided square tiles. 4
 0, 1, 5, 34, 386, 6940, 221672, 12582472, 1293374998, 242394178200, 83374069529638, 52845726291860344, 61928161880183204434, 134499571879749571406816, 542432658409586214809714176, 4068438590479352629770422328000, 56820656114941381799512710314429768 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS MAPLE b:= proc(n, l) option remember; local i, k, s, t;       if max(l[])>n then [0, 0] elif n=0 or l=[] then [1, 0]     elif min(l[])>0 then t:=min(l[]); b(n-t, map(h->h-t, l))     else for k do if l[k]=0 then break fi od; s:=[0\$2];          for i from k to nops(l) while l[i]=0 do s:=s+(h->h+[0, h[1]])            (b(n, [l[j]\$j=1..k-1, 1+i-k\$j=k..i, l[j]\$j=i+1..nops(l)]))          od; s       fi     end: a:= n-> b(n, [0\$n])[2]: seq(a(n), n=0..10); CROSSREFS Main diagonal of A226545. Row sums of A226936. Cf. A045846. Sequence in context: A133297 A054931 A276753 * A211037 A130607 A211042 Adjacent sequences:  A226551 A226552 A226553 * A226555 A226556 A226557 KEYWORD nonn AUTHOR Alois P. Heinz, Jun 10 2013 EXTENSIONS a(16) from Alois P. Heinz, Nov 16 2016 STATUS approved

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Last modified August 2 08:13 EDT 2021. Contains 346422 sequences. (Running on oeis4.)