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 A221131 Table, T, read by antidiagonals where T(-j,k) = ((1+sqrt(j))^k + (1-sqrt(j))^k)/2. 1
 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, -1, -2, 1, 1, 1, -2, -5, -4, 1, 1, 1, -3, -8, -7, -4, 1, 1, 1, -4, -11, -8, 1, 0, 1, 1, 1, -5, -14, -7, 16, 23, 8, 1, 1, 1, -6, -17, -4, 41, 64, 43, 16, 1, 1, 1, -7, -20, 1, 76, 117, 64, 17, 16, 1, 1, 1, -8, -23, 8, 121, 176, 29, -128, -95, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,14 COMMENTS .j\k.........0..1...2....3...4....5....6......7.......8......9......10 .0: A000012..1..1...1....1...1....1....1......1.......1......1.......1 -1: A146559..1..1...0...-2..-4...-4....0......8......16.....16.......0 -2: A087455..1..1..-1...-5..-7....1...23.....43......17....-95....-241 -3: A138230..1..1..-2...-8..-8...16...64.....64....-128...-512....-512 -4: A006495..1..1..-3..-11..-7...41..117.....29....-527..-1199.....237 -5: A138229..1..1..-4..-14..-4...76..176...-104...-1264..-1904....3776 -6: A090592..1..1..-5..-17...1..121..235...-377...-2399..-2159...12475 -7: A090590..1..1..-6..-20...8..176..288...-832...-3968..-1280...29184 -8: A025172..1..1..-7..-23..17..241..329..-1511...-5983...1633...57113 -9: A120743..1..1..-8..-26..28..316..352..-2456...-8432...7696...99712 -10: ........1..1..-9..-29..41..401..351..-3709..-11279..18241..160551 LINKS Table of n, a(n) for n=0..77. MATHEMATICA T[j_, k_] := Expand[((1 + Sqrt[j])^k + (1 - Sqrt[j])^k)/2]; Table[ T[ -j + k, k], {j, 0, 11}, {k, 0, j}] // Flatten CROSSREFS Cf. A084097, Rows: A000012, A146559, A087455, A138230, A006495, A138229, A090592, A090590, A025172, A120743. Columns: A000012, A000012, A024000, 1-3n, A028884, A134593. Sequence in context: A273894 A308035 A336479 * A126886 A179272 A264753 Adjacent sequences: A221128 A221129 A221130 * A221132 A221133 A221134 KEYWORD sign,tabl AUTHOR Al Hakanson (hawkuu(AT)gmail.com) and Robert G. Wilson v, Jan 02 2013 STATUS approved

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Last modified February 23 17:43 EST 2024. Contains 370283 sequences. (Running on oeis4.)