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 A119726 Triangular array read by rows: T(n,1) = T(n,n) = 1, T(n,k) = 4*T(n-1, k-1) + 2*T(n-1, k). 6
 1, 1, 1, 1, 6, 1, 1, 16, 26, 1, 1, 36, 116, 106, 1, 1, 76, 376, 676, 426, 1, 1, 156, 1056, 2856, 3556, 1706, 1, 1, 316, 2736, 9936, 18536, 17636, 6826, 1, 1, 636, 6736, 30816, 76816, 109416, 84196, 27306, 1, 1, 1276, 16016, 88576, 276896, 526096, 606056, 391396, 109226, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Second column is A048487. Second diagonal is A020989. REFERENCES TERMESZET VILAGA XI.TERMESZET-TUDOMANY DIAKPALYAZAT 133.EVF. 6.SZ. jun. 2002. Vegh Lea (and Vegh Erika): "Pascal-tipusu haromszogek" http://www.kfki.hu/chemonet/TermVil/tv2002/tv0206/tartalom.html LINKS G. C. Greubel, Rows n = 1..100 of triangle, flattened EXAMPLE Triangle begins as:   1;   1,    1;   1,    6,     1;   1,   16,    26,     1;   1,   36,   116,   106,      1;   1,   76,   376,   676,    426,      1;   1,  156,  1056,  2856,   3556,   1706,      1;   1,  316,  2736,  9936,  18536,  17636,   6826,      1;   1,  636,  6736, 30816,  76816, 109416,  84196,  27306,      1;   1, 1276, 16016, 88576, 276896, 526096, 606056, 391396, 109226, 1; MAPLE T:= proc(n, k) option remember;       if k=1 and k=n then 1     else 4*T(n-1, k-1) + 2*T(n-1, k)       fi end: seq(seq(T(n, k), k=1..n), n=1..12); # G. C. Greubel, Nov 18 2019 MATHEMATICA T[n_, k_]:= T[n, k]= If[k==1 || k==n, 1, 4*T[n-1, k-1] + 2*T[n-1, k]]; Table[T[n, k], {n, 10}, {k, n}]//Flatten (* G. C. Greubel, Nov 18 2019 *) PROG (PARI) T(n, k) = if(k==1 || k==n, 1, 4*T(n-1, k-1) + 2*T(n-1, k)); (MAGMA) function T(n, k)   if k eq 1 or k eq n then return 1;   else return 4*T(n-1, k-1) + 2*T(n-1, k);   end if;   return T; end function; [T(n, k): k in [1..n], n in [1..12]]; // G. C. Greubel, Nov 18 2019 (Sage) @CachedFunction def T(n, k):     if (k==1 or k==n): return 1     else: return 4*T(n-1, k-1) + 2*T(n-1, k) [[T(n, k) for k in (1..n)] for n in (1..12)] # G. C. Greubel, Nov 18 2019 CROSSREFS Cf. A007318, A020989, A048483, A048487, A119725, A119727, A123208. Sequence in context: A296963 A176560 A152602 * A103999 A154985 A157275 Adjacent sequences:  A119723 A119724 A119725 * A119727 A119728 A119729 KEYWORD easy,nonn,tabl AUTHOR Zerinvary Lajos, Jun 14 2006 EXTENSIONS Edited by Don Reble, Jul 24 2006 STATUS approved

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Last modified August 4 20:00 EDT 2020. Contains 336202 sequences. (Running on oeis4.)